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Teoreticheskaya i Matematicheskaya Fizika, 2013, Volume 175, Number 3, Pages 388–397
DOI: https://doi.org/10.4213/tmf8478 (Mi tmf8478) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Casimir energy of the quantum field in a dispersive and absorptive medium

M. A. Braun

Saint Petersburg State University, St. Petersburg, Russia
Full-text PDF (382 kB) Citations (3)
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DOI: https://doi.org/10.4213/tmf8478
Abstract: We calculate the Casimir energy for a quantum field between two metallic plates separated by a dielectric in the microscopic framework with the medium modeled by a set of oscillators with continuously distributed frequencies. We study the case of one spatial dimension and compare the results for the additional energy and force due to interaction with the medium with the results obtained in the framework of the phenomenological approach similar to the well-known Lifshitz formula{:} they have opposite signs.
Keywords: Casimir force, absorption of a quantum field by a medium, Fano diagonalization, Lifshitz formula.
English version:
Theoretical and Mathematical Physics, 2013, Volume 175, Issue 3, Pages 771–778
DOI: https://doi.org/10.1007/s11232-013-0063-8
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: M. A. Braun, “Casimir energy of the quantum field in a dispersive and absorptive medium”, TMF, 175:3 (2013), 388–397; Theoret. and Math. Phys., 175:3 (2013), 771–778
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tmf8478
  • https://doi.org/10.4213/tmf8478
  • https://www.mathnet.ru/eng/tmf/v175/i3/p388
    • This publication is cited in the following 3 articles:
    1. M. A. Valuyan, “Casimir energy calculation for massive scalar field on spherical surfaces: an alternative approach”, Can. J. Phys., 96:9 (2018), 1004–1009  crossref  isi  scopus
    2. M. A. Valuyan, “The Dirichlet Casimir energy for the ϕ4 theory in a rectangle”, Eur. Phys. J. Plus, 133:10 (2018), 401  crossref  isi
    3. M. A. Braun, “The Casimir energy in a dispersive and absorptive medium in the Fano diagonalization approach”, Theoret. and Math. Phys., 190:2 (2017), 237–250  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Abstract page:364
    Full-text PDF :172
    References:74
    First page:38
     
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