Path integral formulation for deformed boundaries

Mehran Kardar

Physics Department, Room 12-108
77 Massachusetts Ave.
Cambridge, MA 02139

Path integral methods are used to calculate the (normal and transverse) Casimir forces between two deformed metallic plates, as well as dynamic consequences of their motion. Variation of the static
normal force with the wavelength of deformation is an example of the non-trivial geometry dependence of the Casimir effect, and its distinction to pairwise additive forces.