Numerical methods for computing Casimir interactions

Details Numerical methods for computing Casimir interactions Numerical methods for computing Casimir interactions

2010-07-03

arxiv.org/abs/1007.0966v2

In Casimir Physics, Lecture Notes in Physics vol. 834, ch. 6, pp. 175--218 (Springer, 2011)

Physics

Quantum Physics

46 pages, 142 references, 5 figures. To appear in upcoming Lecture Notes in Physics book on Casimir Physics

Scientific paper

10.1007/978-3-642-20288-9

We review several different approaches for computing Casimir forces and related fluctuation-induced 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.

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