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Teoreticheskaya i Matematicheskaya Fizika, 2015, Volume 183, Number 1, Pages 51–61
DOI: https://doi.org/10.4213/tmf8788 (Mi tmf8788) 		 
This article is cited in 8 scientific papers (total in 8 papers)

Casimir effect for a collection of parallel conducting surfaces

N. R. Khusnutdinov, R. N. Kashapov

Kazan (Volga Region) Federal University, Kazan, Russia
Full-text PDF (437 kB) Citations (8)
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DOI: https://doi.org/10.4213/tmf8788
Abstract: We consider the Casimir energy for a system of conducting parallel planes with constant surface conductance and obtain a general expression for the Casimir energy of the systems of two, three, and four planes. For equal separations between the planes, the energy is inversely proportional to the cubed distance between the planes and for low conductance is independent of the Planck constant and the speed of light. For a system of ideally conducting planes, the Casimir energy is the sum of the Casimir energies of pairs of adjacent planes.
Keywords: vacuum polarization, Casimir effect, zeta function, quantum field theory.
Funding agency Grant number
Russian Foundation for Basic Research 13-02-00757_a
Received: 04.09.2014
Revised: 21.10.2014
English version:
Theoretical and Mathematical Physics, 2015, Volume 183, Issue 1, Pages 491–500
DOI: https://doi.org/10.1007/s11232-015-0276-0
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: N. R. Khusnutdinov, R. N. Kashapov, “Casimir effect for a collection of parallel conducting surfaces”, TMF, 183:1 (2015), 51–61; Theoret. and Math. Phys., 183:1 (2015), 491–500
Citation in format AMSBIB
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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