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Research PapersNo Access

Low-temperature expansion of the Casimir–Polder free energy for an atom interacting with a conductive plane

N. Khusnutdinov

Centro de Matemática, Computação e Cognição, Universidade Federal do ABC, 09210-170 Santo André, SP, Brazil

Institute of Physics, Kazan Federal University, Kremlevskaya 18, Kazan, 420008, Russia

E-mail Address: nail.khusnutdinov@gmail.com

Corresponding author.

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and

Centro de Matemática, Computação e Cognição, Universidade Federal do ABC, 09210-170 Santo André, SP, Brazil

E-mail Address: natalia.emelianova@ufabc.edu.br

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https://doi.org/10.1142/S0217751X19500088Cited by:11 (Source: Crossref)

Abstract

The low-temperature expansion of the free energy of an atom/plane system is considered for a general symmetric form of the tensor conductivity of the plane. It is shown that the first correction is proportional to the second order of the temperature $\sim T^{2}$ and comes from the TM mode. The agreement of the expansion and exact expressions for different models of conductivity is numerically demonstrated.

Keywords:

PACS: 03.70.+k, 03.50.De

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Vol. 34, No. 02

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History

Received 6 November 2018

Revised 18 December 2018

Accepted 17 January 2019

Published: 8 February 2019

Keywords