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Teoreticheskaya i Matematicheskaya Fizika, 1985, Volume 62, Number 2, Pages 304–311 (Mi tmf4575)  
This article is cited in 4 scientific papers (total in 4 papers)

Feynman's variational principle for a polaron in a magnetic field

S. N. Gorshkov, A. V. Zabrodin, C. Rodriguez, V. K. Fedyanin
Full-text PDF (783 kB) Citations (4)
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Abstract: The validity of the generalization of Feynman's variational inequality in polaron theory to the case of an arbitrary nonvanishing constant magnetic field is investigated. It is shown that when an anisotropic trial quadratic action is used this generalization is not valid. For the linear polaron model in the case of isotropic trial quadratic action the validity of the Feyuman variational inequality is proved for all temperatures, coupling constants, and magnetic fields.
Received: 18.04.1984
English version:
Theoretical and Mathematical Physics, 1985, Volume 62, Issue 2, Pages 205–210
DOI: https://doi.org/10.1007/BF01033531
Bibliographic databases:
Language: Russian
Citation: S. N. Gorshkov, A. V. Zabrodin, C. Rodriguez, V. K. Fedyanin, “Feynman's variational principle for a polaron in a magnetic field”, TMF, 62:2 (1985), 304–311; Theoret. and Math. Phys., 62:2 (1985), 205–210
Citation in format AMSBIB
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\by S.~N.~Gorshkov, A.~V.~Zabrodin, C.~Rodriguez, V.~K.~Fedyanin
\paper Feynman's variational principle for a~polaron in a~magnetic field
\jour TMF
\yr 1985
\vol 62
\issue 2
\pages 304--311
\mathnet{http://mi.mathnet.ru/tmf4575}
\transl
\jour Theoret. and Math. Phys.
\yr 1985
\vol 62
\issue 2
\pages 205--210
\crossref{https://doi.org/10.1007/BF01033531}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1985ARH5400012}
Linking options:
  • https://www.mathnet.ru/eng/tmf4575
  • https://www.mathnet.ru/eng/tmf/v62/i2/p304
    • This publication is cited in the following 4 articles:
    1. Wilson B. da Costa, François M. Peeters, “Phase diagram for large two-dimensional bipolarons in a magnetic field”, Phys. Rev. B, 57:17 (1998), 10569  crossref
    2. E. A. Kochetov, H. Leschke, M. A. Smondyrev, “Diagrammatic weak-coupling expansion for the magneto-polaron energy”, Z. Physik B - Condensed Matter, 89:2 (1992), 177  crossref
    3. B. Gerlach, H. Löwen, “Analytical properties of polaron systems or: Do polaronic phase transitions exist or not?”, Rev. Mod. Phys., 63:1 (1991), 63  crossref
    4. H. Löwen, “Spectral properties of an optical polaron in a magnetic field”, Journal of Mathematical Physics, 29:6 (1988), 1498  crossref
    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:336
    Full-text PDF :148
    References:73
    First page:1
     
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