Low temperature expansion in the Lifshitz formula
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...
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| Format: | Article |
| Language: | English |
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Universitätsbibliothek Leipzig
2014
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| Online Access: | http://nbn-resolving.de/urn:nbn:de:bsz:15-qucosa-151778 http://nbn-resolving.de/urn:nbn:de:bsz:15-qucosa-151778 http://www.qucosa.de/fileadmin/data/qucosa/documents/15177/Bordag.981586.pdf |
| Summary: | 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. |
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