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Low Temperature Expansion in the Lifshitz Formula

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  • M. Bordag

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.

Suggested Citation

  • M. Bordag, 2014. "Low Temperature Expansion in the Lifshitz Formula," Advances in Mathematical Physics, Hindawi, vol. 2014, pages 1-34, September.
    • Handle: RePEc:hin:jnlamp:981586
    DOI: 10.1155/2014/981586
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