Gluing formula for Casimir energies
type: Item
instance of: scholarly article
title: Gluing formula for Casimir energies
zbMATH Open document ID: 1390.81553
author: Klaus Kirsten
author: Yoonweon Lee
published in: Symmetry
publication date: 2018-06-25T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 81T55
zbMATH DE Number: 6893787
zbMATH Keywords: Casimir energies
zbMATH Keywords: Casimir forces
zbMATH Keywords: BFK-gluing formula
zbMATH Keywords: zeta-determinant
zbMATH Keywords: Dirichlet-to-Neumann operator
MaRDI profile type: Publication
full work available at URL: sym10010031
OpenAlex ID: W2782377993
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DOI: 10.3390/SYM10010031
description: scientific article; zbMATH DE number 6893787