Gluing Formula for Casimir Energies

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 descrip...

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Bibliographic Details
Main Authors: Klaus Kirsten, Yoonweon Lee
Format: Article
Language:English
Published: MDPI AG 2018-01-01
Series:Symmetry
Subjects:
Online Access:http://www.mdpi.com/2073-8994/10/1/31
Description
Summary: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.
ISSN:2073-8994