Constraints on Levitation by Casimir Forces

Mehran Kardar

Thosten Emig, Noah Graham, Robert Jaffe

Jamal Rahi, Mohammad Maghrebi, Matthias Krueger

Outline

I.       Casimir force: Theory, Experiment, & Application

II.     Repulsion? Boundary effects (fluids, metamaterials, ...); and Shapes (spheres, pistons, ...) 

III.    Scattering approach:  Formalism, exactly solvable shapes (sphere, cylinder, knife-edge, wedge, cone, ...)   

IV.    Earnshaw's theorem in electrostatics and for fluctuation-induced forces

V.     Out of equilibrium: Radiation pressure, temperature differences

Next (Introduction) Outline Casimir force Repulsion? Scattering approach Earnshaw's theorem Out of equilibrium Summary