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Teoreticheskaya i Matematicheskaya Fizika, 2002, Volume 131, Number 1, Pages 26–43
DOI: https://doi.org/10.4213/tmf1945 (Mi tmf1945) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Casimir Effect and Quantum Field Theory in Dielectrics

B. N. Marachevsky

Saint-Petersburg State University
Full-text PDF (739 kB) Citations (7)
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DOI: https://doi.org/10.4213/tmf1945
Abstract: We apply the path-integral method in the coordinate space to the Casimir effect. We consider several examples: the Casimir energy of a dilute dielectric ball with dispersion, the Casimir energy of a polarized particle near a dielectric ball, and the Casimir energy of a polarized particle inside a perfectly conducting wedge-shaped cavity. The renormalization group equation for the $\Phi^4$ model is obtained in the coordinate space by a new method that emphasizes the relation between the background field method and the Casimir energy.
English version:
Theoretical and Mathematical Physics, 2002, Volume 131, Issue 1, Pages 468–482
DOI: https://doi.org/10.1023/A:1015197501691
Bibliographic databases:
Language: Russian
Citation: B. N. Marachevsky, “Casimir Effect and Quantum Field Theory in Dielectrics”, TMF, 131:1 (2002), 26–43; Theoret. and Math. Phys., 131:1 (2002), 468–482
Citation in format AMSBIB
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\paper Casimir Effect and Quantum Field Theory in Dielectrics
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\pages 26--43
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\jour Theoret. and Math. Phys.
\yr 2002
\vol 131
\issue 1
\pages 468--482
\crossref{https://doi.org/10.1023/A:1015197501691}
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Linking options:
  • https://www.mathnet.ru/eng/tmf1945
  • https://doi.org/10.4213/tmf1945
  • https://www.mathnet.ru/eng/tmf/v131/i1/p26
    Erratum
    This publication is cited in the following 7 articles:
    1. Giuseppe Bimonte, Thorsten Emig, “Surface Scattering Expansion of the Casimir–Polder Interaction for Magneto-Dielectric Bodies: Convergence Properties for Insulators, Conductors, and Semiconductors”, Physics, 6:1 (2024), 194  crossref
    2. Thorsten Emig, “Surface scattering expansion for the Casimir-Polder interaction of a dielectric wedge”, Phys. Rev. A, 110:6 (2024)  crossref
    3. Stefan Yoshi Buhmann, Springer Tracts in Modern Physics, 247, Dispersion Forces I, 2012, 1  crossref
    4. Stefan Yoshi Buhmann, Springer Tracts in Modern Physics, 247, Dispersion Forces I, 2012, 147  crossref
    5. Buhmann, SY, “Universal Scaling Laws for Dispersion Interactions”, Physical Review Letters, 104:7 (2010), 070404  crossref  adsnasa  isi  elib  scopus  scopus
    6. Marachevsky V.N., Pis'mak Yu.M., “Casimir-Polder effect for a plane with Chern–Simons interaction”, Physical Review D, 81:6 (2010), 065005  crossref  mathscinet  adsnasa  isi  elib  scopus  scopus
    7. Buhmann, SY, “Dispersion forces in macroscopic quantum electrodynamics”, Progress in Quantum Electronics, 31:2 (2007), 51  crossref  adsnasa  isi  scopus  scopus
    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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    Full-text PDF :367
    References:105
    First page:1
     
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