<description/> <author>Andrei Tokmakoff</author> <company>Parametric Technology Corporation</company> <keywords/> <revisedBy>Andrei Tokmakoff</revisedBy> </userData> <identityInfo> <revision>24</revision> <documentID>95D07B20-99C4-4C7B-91A3-28EBD02B3744</documentID> <versionID>99D5876A-47A6-4E20-9161-EBE2FDC6B699</versionID> <parentVersionID>00000000-0000-0000-0000-000000000000</parentVersionID> <branchID>00000000-0000-0000-0000-000000000000</branchID> </identityInfo> </metadata> <settings> <presentation> <textRendering> <textStyles> <textStyle name="Normal"> <blockAttr margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit"/> <inlineAttr font-family="Arial" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false" line-through="false" vertical-align="baseline"/> </textStyle> <textStyle name="Heading 1"> <blockAttr margin-left="0" margin-right="0" text-indent="inherit" text-align="left" 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push-down="false" lock-width="false"> <f size="12"> Visualize a coherence between hydrogenic s and p states </f> </text> </region> <region region-id="396" left="36" top="32.25" width="181.5" height="12" align-x="36" align-y="42" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> Define grid for angular part of wavefunction </text> </region> <region region-id="328" left="54" top="51" width="42.75" height="12.75" align-x="63" align-y="60" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">i</ml:id> <ml:range> <ml:real>0</ml:real> <ml:real>100</ml:real> </ml:range> </ml:define> </math> <rendering item-idref="2"/> </region> <region region-id="401" left="252" top="62.25" width="233.25" height="24" align-x="252" align-y="72" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> set electron density cutoff at which we will plot orbital: </text> </region> <region region-id="403" left="510" top="63" width="25.5" height="12.75" align-x="522.75" align-y="72" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">σ</ml:id> <ml:real>1</ml:real> </ml:define> </math> <rendering item-idref="3"/> </region> <region region-id="327" left="54" top="68.25" width="45" height="27.75" align-x="68.25" align-y="84" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">θ</ml:id> <ml:id xml:space="preserve">i</ml:id> </ml:apply> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">i</ml:id> <ml:real>2</ml:real> </ml:apply> <ml:id xml:space="preserve">π</ml:id> </ml:apply> <ml:real>100</ml:real> </ml:apply> </ml:define> </math> <rendering item-idref="4"/> </region> <region region-id="405" left="36" top="104.25" width="102.75" height="12" align-x="36" align-y="114" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> Use 1s and 2pz orbitals </text> </region> <region region-id="406" left="54" top="134.25" width="71.25" height="29.25" align-x="79.5" align-y="150" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math 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xml:space="preserve">i</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:div/> <ml:apply> <ml:id xml:space="preserve">cos</ml:id> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">θ</ml:id> <ml:id xml:space="preserve">i</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:sqrt/> <ml:id xml:space="preserve">π</ml:id> </ml:apply> </ml:apply> <ml:id xml:space="preserve">σ</ml:id> </ml:apply> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">e</ml:id> <ml:apply> <ml:neg/> <ml:apply> <ml:div/> <ml:id xml:space="preserve">σ</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="6"/> </region> <region region-id="408" left="300" top="141" width="59.25" height="16.5" align-x="324.75" align-y="150" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define 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<region region-id="498" left="462" top="630" width="192" height="193.5" align-x="462" align-y="630" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <plot disable-calc="false" item-idref="23"/> <rendering item-idref="24"/> </region> <region region-id="386" left="0" top="858" width="6000" height="6" align-x="0" align-y="858" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <pageBreak/> </region> <region region-id="393" left="18" top="878.25" width="221.25" height="12" align-x="18" align-y="888" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> <f size="11"> Visualize a Time-Dependent Wavefunction </f> </text> </region> <region region-id="430" left="42" top="908.25" width="85.5" height="12" align-x="63" align-y="918" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Frequency splitting: </text> </region> <region region-id="420" left="138" top="909" width="27.75" height="12.75" align-x="153" align-y="918" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">Δ</ml:id> <ml:real>1</ml:real> </ml:define> </math> <rendering item-idref="25"/> </region> <region region-id="421" left="186" top="909" width="25.5" height="12.75" align-x="198.75" align-y="918" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedBIUnit" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">V</ml:id> <ml:real>1</ml:real> </ml:define> </math> <rendering item-idref="26"/> </region> <region region-id="429" left="42" top="932.25" width="67.5" height="12" align-x="42" align-y="942" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Rabi frequency: </text> </region> <region region-id="423" left="132" top="925.5" width="64.5" height="20.25" align-x="146.25" align-y="942" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedBIUnit" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">Ω</ml:id> <ml:apply> <ml:sqrt/> <ml:apply> <ml:plus/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">V</ml:id> <ml:real>2</ml:real> </ml:apply> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">Δ</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="27"/> </region> <region region-id="424" left="258" top="933" width="46.5" height="12.75" align-x="270.75" align-y="942" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">Ω</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>1.4142135623730952</ml:real> </result> </ml:eval> </math> <rendering item-idref="28"/> </region> <region region-id="428" left="42" top="968.25" width="78.75" height="12" align-x="54.75" align-y="978" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Define a time grid: </text> </region> <region region-id="426" left="132" top="969" width="44.25" height="12.75" align-x="142.5" align-y="978" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">j</ml:id> <ml:range> <ml:real>0</ml:real> <ml:real>500</ml:real> </ml:range> </ml:define> </math> <rendering item-idref="29"/> </region> <region region-id="427" left="198" top="962.25" width="48.75" height="27.75" align-x="213.75" align-y="978" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">τ</ml:id> <ml:id xml:space="preserve">j</ml:id> </ml:apply> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">j</ml:id> <ml:id xml:space="preserve">Ω</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>2</ml:real> <ml:id xml:space="preserve">π</ml:id> </ml:apply> <ml:real>5</ml:real> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="30"/> </region> <region region-id="434" left="42" top="1004.25" width="91.5" height="12" align-x="58.5" align-y="1014" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> Complex amplitudes: </text> </region> <region region-id="435" left="66" top="1030.5" width="138" height="43.5" align-x="86.25" align-y="1062" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve" subscript="s">b</ml:id> <ml:id xml:space="preserve">j</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:imag font="0" symbol="i">-1</ml:imag> <ml:id xml:space="preserve">V</ml:id> </ml:apply> <ml:id xml:space="preserve">Ω</ml:id> </ml:apply> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">e</ml:id> <ml:apply> <ml:mult/> <ml:imag symbol="i">-1</ml:imag> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">Δ</ml:id> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">τ</ml:id> <ml:id xml:space="preserve">j</ml:id> </ml:apply> </ml:apply> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:id xml:space="preserve">sin</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:div/> <ml:id xml:space="preserve">Ω</ml:id> <ml:real>2</ml:real> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">τ</ml:id> <ml:id xml:space="preserve">j</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="31"/> </region> <region region-id="436" left="276" top="1030.5" width="198" height="43.5" align-x="297" align-y="1062" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve" subscript="p">b</ml:id> <ml:id xml:space="preserve">j</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">e</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:imag symbol="i">1</ml:imag> <ml:id xml:space="preserve">Δ</ml:id> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">τ</ml:id> <ml:id xml:space="preserve">j</ml:id> </ml:apply> </ml:apply> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:parens> <ml:apply> <ml:minus/> <ml:apply> <ml:id xml:space="preserve">cos</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:div/> <ml:id xml:space="preserve">Ω</ml:id> <ml:real>2</ml:real> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">τ</ml:id> <ml:id xml:space="preserve">j</ml:id> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:imag font="0" symbol="i">1</ml:imag> <ml:apply> <ml:div/> <ml:id xml:space="preserve">Δ</ml:id> <ml:id xml:space="preserve">Ω</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:id xml:space="preserve">sin</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:div/> <ml:id xml:space="preserve">Ω</ml:id> <ml:real>2</ml:real> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">τ</ml:id> <ml:id xml:space="preserve">j</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:parens> </ml:apply> </ml:define> </math> <rendering item-idref="32"/> </region> <region region-id="431" left="576" top="1058.25" width="58.5" height="12" align-x="588" align-y="1068" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Graph limits: </text> </region> <region region-id="432" left="648" top="1059" width="31.5" height="12.75" align-x="660" align-y="1068" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedBIUnit" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">g</ml:id> <ml:real>0.8</ml:real> </ml:define> </math> <rendering item-idref="33"/> </region> <region region-id="438" left="42" top="1088.25" width="81.75" height="12" align-x="42" align-y="1098" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> Probability Density </text> </region> <region region-id="447" left="66" top="1113" width="65.25" height="27" align-x="85.5" align-y="1128" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve" subscript="s">P</ml:id> <ml:id xml:space="preserve">j</ml:id> </ml:apply> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:absval/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve" subscript="s">b</ml:id> <ml:id xml:space="preserve">j</ml:id> </ml:apply> </ml:apply> </ml:parens> <ml:real>2</ml:real> </ml:apply> </ml:define> </math> <rendering item-idref="34"/> </region> <region region-id="448" left="150" top="1113" width="66.75" height="27" align-x="170.25" align-y="1128" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve" subscript="p">P</ml:id> <ml:id xml:space="preserve">j</ml:id> </ml:apply> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:absval/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve" subscript="p">b</ml:id> <ml:id xml:space="preserve">j</ml:id> </ml:apply> </ml:apply> </ml:parens> <ml:real>2</ml:real> </ml:apply> </ml:define> </math> <rendering item-idref="35"/> </region> <region region-id="449" left="246" top="1119" width="52.5" height="16.5" align-x="258" align-y="1128" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">P</ml:id> <ml:apply> <ml:plus/> <ml:id xml:space="preserve" subscript="s">P</ml:id> <ml:id xml:space="preserve" subscript="p">P</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="36"/> </region> <region region-id="450" left="348" top="1119" width="129.75" height="21" align-x="372.75" align-y="1128" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">ψ</ml:id> <ml:sequence> <ml:id xml:space="preserve">i</ml:id> <ml:id xml:space="preserve">j</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:absval/> <ml:apply> <ml:plus/> <ml:apply> <ml:mult/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve" subscript="s">b</ml:id> <ml:id xml:space="preserve">j</ml:id> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve" subscript="1s">ψ</ml:id> <ml:id xml:space="preserve">i</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:mult/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve" subscript="p">b</ml:id> <ml:id xml:space="preserve">j</ml:id> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve" subscript="2pz">ψ</ml:id> <ml:id xml:space="preserve">i</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="37"/> </region> <region region-id="506" left="36" top="1170" width="316.5" height="159.75" align-x="36" align-y="1170" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <plot disable-calc="false" item-idref="38"/> <rendering item-idref="39"/> </region> <region region-id="505" left="390" top="1170" width="328.5" height="159.75" align-x="390" align-y="1170" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <plot disable-calc="false" item-idref="40"/> <rendering item-idref="41"/> </region> <region region-id="451" left="0" top="1374" width="6000" height="6" align-x="0" align-y="1374" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <pageBreak/> </region> <region region-id="492" left="30" top="1394.25" width="235.5" height="12" align-x="30" align-y="1404" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f size="11"> Time-Dependent Magnitude of Wavefunction </f> </text> </region> <region region-id="491" left="30" top="1418.25" width="350.25" height="12" align-x="30" align-y="1428" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Probability density oscillates as one might expect for interaction with a light field. </text> </region> <region region-id="464" left="18" top="1440" width="153" height="148.5" align-x="18" align-y="1440" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <plot disable-calc="false" item-idref="42"/> <rendering item-idref="43"/> </region> <region region-id="465" left="156" top="1440" width="153" height="148.5" align-x="156" align-y="1440" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <plot disable-calc="false" item-idref="44"/> <rendering item-idref="45"/> </region> <region region-id="466" left="288" top="1440" width="153" height="148.5" align-x="288" align-y="1440" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <plot disable-calc="false" item-idref="46"/> <rendering item-idref="47"/> </region> <region region-id="467" left="426" top="1440" width="153" height="148.5" align-x="426" align-y="1440" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <plot disable-calc="false" item-idref="48"/> <rendering item-idref="49"/> </region> <region region-id="468" left="564" top="1440" width="153" height="148.5" align-x="564" align-y="1440" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <plot disable-calc="false" item-idref="50"/> <rendering item-idref="51"/> </region> <region region-id="484" left="18" top="1608" width="153" height="148.5" align-x="18" align-y="1608" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <plot disable-calc="false" item-idref="52"/> <rendering item-idref="53"/> </region> <region region-id="485" left="156" top="1608" width="153" height="148.5" align-x="156" align-y="1608" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <plot disable-calc="false" item-idref="54"/> <rendering item-idref="55"/> </region> <region region-id="486" left="288" top="1608" width="153" height="148.5" align-x="288" align-y="1608" 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multiple-assignment="MC12" local-assignment="MC11"/> </calculationBehavior> <units> <currentUnitSystem name="si" customized="false"/> </units> </calculation> <editor view-annotations="false" view-regions="false"> <ruler is-visible="false" ruler-unit="in"/> <plotTemplate> <polar item-idref="1"/> </plotTemplate> <grid granularity-x="6" granularity-y="6"/> </editor> <fileFormat image-type="image/png" image-quality="75" save-numeric-results="true" exclude-large-results="true" save-text-images="false" screen-dpi="96"/> <miscellaneous> <handbook handbook-region-tag-ub="506" can-delete-original-handbook-regions="true" can-delete-user-regions="true" can-print="true" can-copy="true" can-save="true" file-permission-mask="4294967295"/> </miscellaneous> </settings> <regions> <region region-id="395" left="18" top="6.75" width="327.75" height="14.25" align-x="18" align-y="18" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> <f size="12"> Visualize a coherence between hydrogenic s and p states </f> </text> </region> <region region-id="396" left="36" top="32.25" width="181.5" height="12" align-x="36" align-y="42" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> Define grid for angular part of wavefunction </text> </region> <region region-id="328" left="54" top="51" width="42.75" height="12.75" align-x="63" align-y="60" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">i</ml:id> <ml:range> <ml:real>0</ml:real> <ml:real>100</ml:real> </ml:range> </ml:define> </math> <rendering item-idref="2"/> </region> <region region-id="401" left="252" top="62.25" width="233.25" height="24" align-x="252" align-y="72" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> set electron density cutoff at which we will plot orbital: </text> </region> <region region-id="403" left="510" top="63" width="25.5" height="12.75" align-x="522.75" align-y="72" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">σ</ml:id> <ml:real>1</ml:real> </ml:define> </math> <rendering item-idref="3"/> </region> <region region-id="327" left="54" top="68.25" width="45" height="27.75" align-x="68.25" align-y="84" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">θ</ml:id> <ml:id xml:space="preserve">i</ml:id> </ml:apply> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">i</ml:id> <ml:real>2</ml:real> </ml:apply> <ml:id xml:space="preserve">π</ml:id> </ml:apply> <ml:real>100</ml:real> </ml:apply> </ml:define> </math> <rendering item-idref="4"/> </region> <region region-id="405" left="36" top="104.25" width="102.75" height="12" align-x="36" align-y="114" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> Use 1s and 2pz orbitals </text> </region> <region region-id="406" left="54" top="134.25" width="71.25" height="29.25" align-x="79.5" align-y="150" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve" subscript="1s">ψ</ml:id> <ml:id xml:space="preserve">i</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:apply> <ml:div/> <ml:real>1</ml:real> <ml:apply> <ml:sqrt/> <ml:id xml:space="preserve">π</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">e</ml:id> <ml:apply> <ml:neg/> <ml:id xml:space="preserve">σ</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="5"/> </region> <region region-id="407" left="168" top="120" width="103.5" height="43.5" align-x="198" align-y="150" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve" subscript="2pz">ψ</ml:id> <ml:id xml:space="preserve">i</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:div/> <ml:apply> <ml:id xml:space="preserve">cos</ml:id> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">θ</ml:id> <ml:id xml:space="preserve">i</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:sqrt/> <ml:id xml:space="preserve">π</ml:id> </ml:apply> </ml:apply> <ml:id xml:space="preserve">σ</ml:id> </ml:apply> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">e</ml:id> <ml:apply> <ml:neg/> <ml:apply> <ml:div/> <ml:id xml:space="preserve">σ</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="6"/> </region> <region region-id="408" left="300" top="141" width="59.25" height="16.5" align-x="324.75" align-y="150" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="pp">ψ</ml:id> <ml:apply> <ml:neg/> <ml:id xml:space="preserve" subscript="2pz">ψ</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="7"/> </region> <region region-id="494" left="54" top="189" width="60.75" height="27" align-x="72.75" align-y="204" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve" subscript="s">P</ml:id> <ml:id xml:space="preserve">i</ml:id> </ml:apply> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve" subscript="1s">ψ</ml:id> <ml:id xml:space="preserve">i</ml:id> </ml:apply> </ml:parens> <ml:real>2</ml:real> </ml:apply> </ml:define> </math> <rendering item-idref="8"/> </region> <region region-id="493" left="144" top="194.25" width="184.5" height="12" align-x="160.5" align-y="204" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Angular dependence of 1s electron density </text> </region> <region region-id="323" left="54" top="213" width="66" height="27" align-x="73.5" align-y="228" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve" subscript="p">P</ml:id> <ml:id xml:space="preserve">i</ml:id> </ml:apply> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve" subscript="2pz">ψ</ml:id> <ml:id xml:space="preserve">i</ml:id> </ml:apply> </ml:parens> <ml:real>2</ml:real> </ml:apply> </ml:define> </math> <rendering item-idref="9"/> </region> <region region-id="332" left="144" top="218.25" width="188.25" height="15" align-x="144" align-y="228" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Angular dependence of 2pz electron density </text> </region> <region region-id="168" left="312" top="258" width="191.25" height="201" align-x="312" align-y="258" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <plot disable-calc="false" item-idref="10"/> <rendering item-idref="11"/> </region> <region region-id="167" left="90" top="264" width="180.75" height="184.5" align-x="90" align-y="264" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <plot disable-calc="false" item-idref="12"/> <rendering item-idref="13"/> </region> <region region-id="169" left="0" top="480" width="6000" height="6" align-x="0" align-y="480" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <pageBreak/> </region> <region region-id="104" left="24" top="506.25" width="166.5" height="12" align-x="24" align-y="516" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> <f size="11"> Visualize a static superposition: </f> </text> </region> <region region-id="340" left="24" top="530.25" width="161.25" height="12" align-x="24" align-y="540" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Set amplitude ( between -1 to 1): </text> </region> <region region-id="343" left="198" top="531" width="35.25" height="16.5" align-x="213.75" align-y="540" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="s">c</ml:id> <ml:real>0.5</ml:real> </ml:define> </math> <rendering item-idref="14"/> </region> <region region-id="342" left="258" top="523.5" width="78" height="24" align-x="274.5" align-y="540" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="p">c</ml:id> <ml:apply> <ml:sqrt/> <ml:apply> <ml:minus/> <ml:real>1</ml:real> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:absval/> <ml:id xml:space="preserve" subscript="s">c</ml:id> </ml:apply> </ml:parens> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="15"/> </region> <region 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<ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:plus/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="s">c</ml:id> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve" subscript="1s">ψ</ml:id> <ml:id xml:space="preserve">i</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="p">c</ml:id> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve" subscript="2pz">ψ</ml:id> <ml:id xml:space="preserve">i</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:parens> <ml:real>2</ml:real> </ml:apply> </ml:define> </math> <rendering item-idref="17"/> </region> <region region-id="503" left="102" top="561" width="129.75" height="21" align-x="135.75" align-y="570" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve" subscript="plus">ψ</ml:id> 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xml:space="preserve" subscript="minus">P</ml:id> <ml:id xml:space="preserve">i</ml:id> </ml:apply> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:minus/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="s">c</ml:id> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve" subscript="1s">ψ</ml:id> <ml:id xml:space="preserve">i</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="p">c</ml:id> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve" subscript="2pz">ψ</ml:id> <ml:id xml:space="preserve">i</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:parens> <ml:real>2</ml:real> </ml:apply> </ml:define> </math> <rendering item-idref="20"/> </region> <region region-id="501" left="102" top="630" width="180" height="181.5" align-x="102" align-y="630" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <plot disable-calc="false" item-idref="21"/> <rendering item-idref="22"/> </region> <region region-id="498" left="462" top="630" width="192" height="193.5" align-x="462" align-y="630" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <plot disable-calc="false" item-idref="23"/> <rendering item-idref="24"/> </region> <region region-id="386" left="0" top="858" width="6000" height="6" align-x="0" align-y="858" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <pageBreak/> </region> <region region-id="393" left="18" top="878.25" width="221.25" height="12" align-x="18" align-y="888" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> <f size="11"> Visualize a Time-Dependent Wavefunction </f> </text> </region> <region region-id="430" left="42" top="908.25" width="85.5" height="12" align-x="63" align-y="918" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Frequency splitting: </text> </region> <region region-id="420" left="138" top="909" width="27.75" height="12.75" align-x="153" align-y="918" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">Δ</ml:id> <ml:real>1</ml:real> </ml:define> </math> <rendering item-idref="25"/> </region> <region region-id="421" left="186" top="909" width="25.5" height="12.75" align-x="198.75" align-y="918" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedBIUnit" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">V</ml:id> <ml:real>1</ml:real> </ml:define> </math> <rendering item-idref="26"/> </region> <region region-id="429" left="42" top="932.25" width="67.5" height="12" align-x="42" align-y="942" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Rabi frequency: </text> </region> <region region-id="423" left="132" top="925.5" width="64.5" height="20.25" align-x="146.25" align-y="942" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedBIUnit" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">Ω</ml:id> <ml:apply> <ml:sqrt/> <ml:apply> <ml:plus/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">V</ml:id> <ml:real>2</ml:real> </ml:apply> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">Δ</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="27"/> </region> <region region-id="424" left="258" top="933" width="46.5" height="12.75" align-x="270.75" align-y="942" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">Ω</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>1.4142135623730952</ml:real> </result> </ml:eval> </math> <rendering item-idref="28"/> </region> <region region-id="428" left="42" top="968.25" width="78.75" height="12" align-x="54.75" align-y="978" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Define a time grid: </text> </region> <region region-id="426" left="132" top="969" width="44.25" height="12.75" align-x="142.5" align-y="978" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">j</ml:id> <ml:range> <ml:real>0</ml:real> <ml:real>500</ml:real> </ml:range> </ml:define> </math> <rendering item-idref="29"/> </region> <region region-id="427" left="198" top="962.25" width="48.75" height="27.75" align-x="213.75" align-y="978" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">τ</ml:id> <ml:id xml:space="preserve">j</ml:id> </ml:apply> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">j</ml:id> <ml:id xml:space="preserve">Ω</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>2</ml:real> <ml:id xml:space="preserve">π</ml:id> </ml:apply> <ml:real>5</ml:real> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="30"/> </region> <region region-id="434" left="42" top="1004.25" width="91.5" height="12" align-x="58.5" align-y="1014" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> Complex amplitudes: </text> </region> <region region-id="435" left="66" top="1030.5" width="138" height="43.5" align-x="86.25" align-y="1062" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve" subscript="s">b</ml:id> <ml:id xml:space="preserve">j</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:imag font="0" symbol="i">-1</ml:imag> <ml:id xml:space="preserve">V</ml:id> </ml:apply> <ml:id xml:space="preserve">Ω</ml:id> </ml:apply> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">e</ml:id> <ml:apply> <ml:mult/> <ml:imag symbol="i">-1</ml:imag> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">Δ</ml:id> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">τ</ml:id> <ml:id xml:space="preserve">j</ml:id> </ml:apply> </ml:apply> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:id xml:space="preserve">sin</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:div/> <ml:id xml:space="preserve">Ω</ml:id> <ml:real>2</ml:real> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">τ</ml:id> <ml:id xml:space="preserve">j</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="31"/> </region> <region region-id="436" left="276" top="1030.5" width="198" height="43.5" align-x="297" align-y="1062" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve" subscript="p">b</ml:id> <ml:id xml:space="preserve">j</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">e</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:imag symbol="i">1</ml:imag> <ml:id xml:space="preserve">Δ</ml:id> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">τ</ml:id> <ml:id xml:space="preserve">j</ml:id> </ml:apply> </ml:apply> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:parens> <ml:apply> <ml:minus/> <ml:apply> <ml:id xml:space="preserve">cos</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:div/> <ml:id xml:space="preserve">Ω</ml:id> <ml:real>2</ml:real> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">τ</ml:id> <ml:id xml:space="preserve">j</ml:id> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:imag font="0" symbol="i">1</ml:imag> <ml:apply> <ml:div/> <ml:id xml:space="preserve">Δ</ml:id> <ml:id xml:space="preserve">Ω</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:id xml:space="preserve">sin</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:div/> <ml:id xml:space="preserve">Ω</ml:id> <ml:real>2</ml:real> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">τ</ml:id> <ml:id xml:space="preserve">j</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:parens> </ml:apply> </ml:define> </math> <rendering item-idref="32"/> </region> <region region-id="431" left="576" top="1058.25" width="58.5" height="12" align-x="588" align-y="1068" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Graph limits: </text> </region> <region region-id="432" left="648" top="1059" width="31.5" height="12.75" align-x="660" align-y="1068" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedBIUnit" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">g</ml:id> <ml:real>0.8</ml:real> </ml:define> </math> <rendering item-idref="33"/> </region> <region region-id="438" left="42" top="1088.25" width="81.75" height="12" align-x="42" align-y="1098" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> Probability Density </text> </region> <region region-id="447" left="66" top="1113" width="65.25" height="27" align-x="85.5" align-y="1128" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve" subscript="s">P</ml:id> <ml:id xml:space="preserve">j</ml:id> </ml:apply> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:absval/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve" subscript="s">b</ml:id> <ml:id xml:space="preserve">j</ml:id> </ml:apply> </ml:apply> </ml:parens> <ml:real>2</ml:real> </ml:apply> </ml:define> </math> <rendering item-idref="34"/> </region> <region region-id="448" left="150" top="1113" width="66.75" height="27" align-x="170.25" align-y="1128" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve" subscript="p">P</ml:id> <ml:id xml:space="preserve">j</ml:id> </ml:apply> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:absval/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve" subscript="p">b</ml:id> <ml:id xml:space="preserve">j</ml:id> </ml:apply> </ml:apply> </ml:parens> <ml:real>2</ml:real> </ml:apply> </ml:define> </math> <rendering item-idref="35"/> </region> <region region-id="449" left="246" top="1119" width="52.5" height="16.5" align-x="258" align-y="1128" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">P</ml:id> <ml:apply> <ml:plus/> <ml:id xml:space="preserve" subscript="s">P</ml:id> <ml:id xml:space="preserve" subscript="p">P</ml:id> </ml:apply> </ml:define> </math> <rendering 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</ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve" subscript="2pz">ψ</ml:id> <ml:id xml:space="preserve">i</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="37"/> </region> <region region-id="506" left="36" top="1170" width="316.5" height="159.75" align-x="36" align-y="1170" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <plot disable-calc="false" item-idref="38"/> <rendering item-idref="39"/> </region> <region region-id="505" left="390" top="1170" width="328.5" height="159.75" align-x="390" align-y="1170" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <plot disable-calc="false" item-idref="40"/> <rendering item-idref="41"/> </region> <region region-id="451" left="0" top="1374" width="6000" height="6" align-x="0" align-y="1374" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <pageBreak/> </region> <region region-id="492" left="30" top="1394.25" width="235.5" height="12" align-x="30" align-y="1404" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f size="11"> Time-Dependent Magnitude of Wavefunction </f> </text> </region> <region region-id="491" left="30" top="1418.25" width="350.25" height="12" align-x="30" align-y="1428" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Probability density oscillates as one might expect for interaction with a light field. </text> </region> <region region-id="464" left="18" top="1440" width="153" height="148.5" align-x="18" align-y="1440" show-border="false" show-highlight="false" is-protected="true" z-order="0" 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