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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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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| _version_ | 1832561256411693056 |
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| author | M. Bordag |
| author_facet | M. Bordag |
| author_sort | M. Bordag |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-e65d35fe9c4449e0bdbb5b1c175ebd0a |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-e65d35fe9c4449e0bdbb5b1c175ebd0a2025-02-03T01:25:42ZengWileyAdvances in Mathematical Physics1687-91201687-91392014-01-01201410.1155/2014/981586981586Low Temperature Expansion in the Lifshitz FormulaM. Bordag0Institute for Theoretical Physics, Universität Leipzig, Postfach 100 920, 04009 Leipzig, GermanyThe 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.http://dx.doi.org/10.1155/2014/981586 |
| spellingShingle | M. Bordag Low Temperature Expansion in the Lifshitz Formula Advances in Mathematical Physics |
| title | Low Temperature Expansion in the Lifshitz Formula |
| title_full | Low Temperature Expansion in the Lifshitz Formula |
| title_fullStr | Low Temperature Expansion in the Lifshitz Formula |
| title_full_unstemmed | Low Temperature Expansion in the Lifshitz Formula |
| title_short | Low Temperature Expansion in the Lifshitz Formula |
| title_sort | low temperature expansion in the lifshitz formula |
| url | http://dx.doi.org/10.1155/2014/981586 |
| work_keys_str_mv | AT mbordag lowtemperatureexpansioninthelifshitzformula |