Numerical Methods for Computing Casimir Interactions
Abstract
We review several different approaches for computing Casimir forces and related fluctuationinduced interactions between bodies of arbitrary shapes and materials. The relationships between this problem and well known computational techniques from classical electromagnetism are emphasized. We also review the basic principles of standard computational methods, categorizing them according to three criteria—choice of problem, basis, and solution technique—that can be used to classify proposals for the Casimir problem as well. In this way, mature classical methods can be exploited to model Casimir physics, with a few important modifications.
 Publication:

Lecture Notes in Physics, Berlin Springer Verlag
 Pub Date:
 2011
 DOI:
 10.1007/9783642202889_6
 arXiv:
 arXiv:1007.0966
 Bibcode:
 2011LNP...834..175J
 Keywords:

 Physics;
 Quantum Physics;
 Physics  Computational Physics
 EPrint:
 46 pages, 142 references, 5 figures. To appear in upcoming Lecture Notes in Physics book on Casimir Physics