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Symmetry 2018, 10(1), 31; doi:10.3390/sym10010031

Gluing Formula for Casimir Energies

1
Department of Mathematics, Baylor University, Waco, TX 76796, USA
2
Department of Mathematics, Inha University, Incheon 402-751, Korea
*
Author to whom correspondence should be addressed.
Received: 27 December 2017 / Revised: 15 January 2018 / Accepted: 18 January 2018 / Published: 21 January 2018
(This article belongs to the Special Issue Casimir Physics and Applications)
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Abstract

We provide a completely new perspective for the analysis of Casimir forces in very general piston configurations. To this end, in order to be self-contained, we prove a “gluing formula” well known in mathematics and relate it with Casimir forces in piston configurations. At the center of our description is the Dirichlet-to-Neumann operator, which encodes all the information about those forces. As an application, the results for previously considered piston configurations are reproduced in a streamlined fashion. View Full-Text
Keywords: Casimir energies; Casimir forces; BFK-gluing formula; zeta-determinant; Dirichlet-to-Neumann operator Casimir energies; Casimir forces; BFK-gluing formula; zeta-determinant; Dirichlet-to-Neumann operator
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Kirsten, K.; Lee, Y. Gluing Formula for Casimir Energies. Symmetry 2018, 10, 31.

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