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TMF, 2017, Volume 190, Number 2, Pages 277–292 (Mi tmf9111)  

This article is cited in 2 scientific papers (total in 2 papers)

The Casimir energy in a dispersive and absorptive medium in the Fano diagonalization approach

M. A. Braun

Saint Petersburg State University, St. Petersburg, Russia

Abstract: We calculate the Casimir energy of the electromagnetic field in the one-dimensional space between two metallic plates filled with a dispersive and absorptive dielectric in the framework of a microscopic approach in which the medium is modeled by a set of oscillators with continuously distributed frequencies. We analyze the treatment of singular expressions used in other papers and show that with appropriate regularization and omission of certain infinite terms, the results coincide with those obtained in an approach without such singularities. We study the asymptotic behavior at large distances and conclude that it always corresponds to attraction, but the influence of the dielectric can lead to repulsion at finite distances.

Keywords: quantum electrodynamics, dispersive and absorptive medium, Casimir energy, Casimir force

Funding Agency Grant Number
Saint Petersburg State University 11.38.197.2014
This research was supported by St. Petersburg State University (Grant No. 11.38.197.2014).


DOI: https://doi.org/10.4213/tmf9111

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English version:
Theoretical and Mathematical Physics, 2017, 190:2, 237–250

Bibliographic databases:

Document Type: Article
Received: 09.12.2015
Revised: 22.02.2016

Citation: M. A. Braun, “The Casimir energy in a dispersive and absorptive medium in the Fano diagonalization approach”, TMF, 190:2 (2017), 277–292; Theoret. and Math. Phys., 190:2 (2017), 237–250

Citation in format AMSBIB
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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. Bordag M., “Casimir and Casimir-Polder Forces With Dissipation From First Principles”, Phys. Rev. A, 96:6 (2017), 062504  crossref  mathscinet  isi  scopus
    2. M. Bordag, “Vacuum and thermal energies for two oscillators interacting through a field”, Theoret. and Math. Phys., 195:3 (2018), 834–860  mathnet  crossref  crossref  adsnasa  isi  elib
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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