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
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.
quantum electrodynamics, dispersive and absorptive medium, Casimir energy, Casimir force
|Saint Petersburg State University
|This research was supported by St. Petersburg State
University (Grant No. 22.214.171.1244).
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Theoretical and Mathematical Physics, 2017, 190:2, 237–250
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
\paper The~Casimir energy in a~dispersive and absorptive medium in the~Fano diagonalization approach
\jour Theoret. and Math. Phys.
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Bordag M., “Casimir and Casimir-Polder Forces With Dissipation From First Principles”, Phys. Rev. A, 96:6 (2017), 062504
M. Bordag, “Vacuum and thermal energies for two oscillators interacting through a field”, Theoret. and Math. Phys., 195:3 (2018), 834–860
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