Next Article in Journal
An Improved Set-Membership Proportionate Adaptive Algorithm for a Block-Sparse System
Previous Article in Journal
Intelligent Image Processing System for Detection and Segmentation of Regions of Interest in Retinal Images
Previous Article in Special Issue
Casimir Energies for Isorefractive or Diaphanous Balls
Article Menu
Issue 3 (March) cover image

Export Article

Open AccessFeature PaperArticle
Symmetry 2018, 10(3), 74;

Dispersion Forces Between Fields Confined to Half Spaces

1,†,* and 2,†
Institut für Theoretische Physik, Universität Leipzig, Postfach 100 920, D-04009 Leipzig, Germany
Bogoliubov Laboratory of Theoretical Physics JINR, 141980 Dubna, Russia, and Dubna State University, 141982 Dubna, Russia
The authors contributed equally to this work.
Author to whom correspondence should be addressed.
Received: 9 February 2018 / Revised: 14 March 2018 / Accepted: 15 March 2018 / Published: 19 March 2018
(This article belongs to the Special Issue Casimir Physics and Applications)
Full-Text   |   PDF [789 KB, uploaded 19 March 2018]   |  


We consider the Casimir effect for a scalar field interacting with another scalar field that is confined to two half spaces. This model is aimed to mimic the interaction of the photon field with matter in two slabs. We use Dirichlet boundary conditions on the interfaces for the fields in the half spaces and calculate their one-loop contribution to the wave equation for the other field. We perform the ultraviolet renormalization and develop a convenient formalism for the calculation of the vacuum energy in this configuration. View Full-Text
Keywords: Casimir effect; quantum field theory; reflection coefficient Casimir effect; quantum field theory; reflection coefficient

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

Bordag, M.; Pirozhenko, I. Dispersion Forces Between Fields Confined to Half Spaces. Symmetry 2018, 10, 74.

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