Low Temperature Expansion in the Lifshitz Formula

M. Bordag

Advances in Mathematical Physics, 2014, vol. 2014, 1-34

Abstract:

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 . The paper includes the derivations and should provide a self-contained representation.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlamp:981586

DOI: 10.1155/2014/981586

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