Next Article in Journal
Graph Theory
Next Article in Special Issue
Accounting for Dissipation in the Scattering Approach to the Casimir Energy
Previous Article in Journal
A Distributed Snapshot Protocol for Efficient Artificial Intelligence Computation in Cloud Computing Environments
Article Menu
Issue 1 (January) cover image

Export Article

Open AccessArticle
Symmetry 2018, 10(1), 31;

Gluing Formula for Casimir Energies

Department of Mathematics, Baylor University, Waco, TX 76796, USA
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)
Full-Text   |   PDF [422 KB, uploaded 21 January 2018]   |  


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

Figure 1

This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

Share & Cite This Article

MDPI and ACS Style

Kirsten, K.; Lee, Y. Gluing Formula for Casimir Energies. Symmetry 2018, 10, 31.

Show more citation formats Show less citations formats

Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Related Articles

Article Metrics

Article Access Statistics



[Return to top]
Symmetry EISSN 2073-8994 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top