The low temperature expansion of the free energy in a Casimir effect setup is considered in detail. The starting point is the Lifshitz formula in Matsubara representation and the basic method is its reformulation using the Abel-Plana formula making full use of the analytic properties. This provides a unified description of specific models. We rederive the known results and, in a number of cases, we are able to go beyond. We also discuss the cases with dissipation. It is an aim of the paper to give a coherent exposition of the asymptotic expansions for T -> 0. The paper includes the derivations and should provide a self-contained representation.
| Identifer | oai:union.ndltd.org:DRESDEN/oai:qucosa.de:bsz:15-qucosa-151778 |
| Date | 09 September 2014 |
| Creators | Bordag, Michael |
| Contributors | Universität Leipzig, Fakultät für Physik und Geowissenschaften, Hindawi Publ., |
| Publisher | Universitätsbibliothek Leipzig |
| Source Sets | Hochschulschriftenserver (HSSS) der SLUB Dresden |
| Language | English |
| Detected Language | English |
| Type | doc-type:article |
| Format | application/pdf |
| Source | Advances in Mathematical Physics Volume 2014 (2014), Article ID 981586 doi: 10.1155/2014/981586 |
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