2009/09/04 by Kimball A. Milton, Milton, Kimball A., Prachi Parashar +5
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Quantum Electrodynamics and Casimir Effect #Quantum Mechanics and Applications #Quantum Physics (quant-ph) #hep-th #quant-ph
paper · pdf · doi:10.48550/arxiv.0909.0977
7 pages, 1 eps figure. Invited paper for the Festschrift for Tom Erber. This version corrects a misstatement about the order of the polynomial in the Appendix.
openalex publication_date 2009/09/04 · arxiv created 2010/03/17 · arxiv updated 2010/03/18 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
In this paper, dedicated to the career of Tom Erber, we consider the Casimir interaction between weakly coupled bodies at nonzero temperature. For the case of semitransparent bodies, that is, ones described by delta-function potentials, we first examine the interaction between an infinite plane and an arbitrary curved surface. In weak coupling, such an interaction energy coincides with the exact form of the proximity force approximation obtained by summing the interaction between opposite surface elements at arbitrary temperature. This result generalizes a theorem proved recently by Decca et al. We also obtain exact closed-form results for the Casimir energy at arbitrary temperature for weakly coupled semitransparent spheres.