Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2007-12-21
J.Phys.A41:155402,2008
Physics
High Energy Physics
High Energy Physics - Theory
21 pages, 7 figures, ReVTEX. Introduction shortened, Appendix A expanded, references added
Scientific paper
10.1088/1751-8113/41/15/155402
Multiple scattering formulations have been employed for more than 30 years as a method of studying the quantum vacuum or Casimir interactions between distinct bodies. Here we review the method in the simple context of $\delta$-function potentials, so-called semitransparent bodies. (In the limit of strong coupling, a semitransparent boundary becomes a Dirichlet one.) After applying the method to rederive the Casimir force between two semitransparent plates and the Casimir self-stress on a semitransparent sphere, we obtain expressions for the Casimir energies between disjoint parallel semitransparent cylinders and between disjoint semitransparent spheres. Simplifications occur for weak and strong coupling. In particular, after performing a power series expansion in the ratio of the radii of the objects to the separation between them, we are able to sum the weak-coupling expansions exactly to obtain explicit closed forms for the Casimir interaction energy. The same can be done for the interaction of a weak-coupling sphere or cylinder with a Dirichlet plane. We show that the proximity force approximation (PFA), which becomes the proximity force theorem when the objects are almost touching, is very poor for finite separations.
Milton Kimball A.
Wagner Jef
No associations
LandOfFree
Multiple Scattering Methods in Casimir Calculations does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Multiple Scattering Methods in Casimir Calculations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Multiple Scattering Methods in Casimir Calculations will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-425727