Casimir effect between spherical objects: proximity-force approximation and beyond using plane waves

  • For the Casimir interaction between two nearby objects, the plane-wave basis proves convenient for numerical calculations as well as for analytical considerations leading to an optical interpretation of the relevant scattering processes of electromagnetic waves. We review work on the proximity-force approximation (PFA) and corrections to it within the plane-wave basis for systems involving spherical objects. Previous work is extended by allowing for polarization mixing during the reflection at a sphere. In particular, explicit results are presented for perfect electromagnetic conductors. Furthermore, for perfect electric conductors at zero temperature, it is demonstrated that beyond the leading-order correction to the PFA, terms of half-integer order in the distance between the sphere surfaces appear.

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Author:Tanja SchogerORCiD, Benjamin SprengORCiD, Gert-Ludwig IngoldORCiDGND, Paulo A. Maia NetoORCiD
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Parent Title (English):International Journal of Modern Physics A
Publisher:World Scientific
Place of publication:Singapore
Year of first Publication:2022
Release Date:2022/09/12
First Page:2241009
Institutes:Mathematisch-Naturwissenschaftlich-Technische Fakultät
Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Physik
Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Physik / Lehrstuhl für Theoretische Physik I
Dewey Decimal Classification:5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik