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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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2014/981586 |
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| 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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| ISSN: | 1687-9120 1687-9139 |