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Teoreticheskaya i Matematicheskaya Fizika, 2009, Volume 161, Number 2, Pages 243–255
DOI: https://doi.org/10.4213/tmf6435 (Mi tmf6435) 		 
This article is cited in 1 scientific paper (total in 1 paper)

The Matsubara operator for the Fröhlich model

É. A. Arinstein

Tyumen State University, Tyumen, Russia
Full-text PDF (348 kB) Citations (1)
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DOI: https://doi.org/10.4213/tmf6435
Abstract: We use the generating functional method to consider the perturbation theory for the Matsubara operator for the Fröhlich model of an electron–phonon system. We obtain expressions determining the perturbed Hamiltonian of the electron–phonon system and the effective Hamiltonian of the electron system after averaging over phonon states.
Keywords: Matsubara operator, Fröhlich model, density matrix, generating functional, perturbation theory.
Received: 10.07.2008
Revised: 05.05.2009
English version:
Theoretical and Mathematical Physics, 2009, Volume 161, Issue 2, Pages 1529–1539
DOI: https://doi.org/10.1007/s11232-009-0139-7
Bibliographic databases:
Language: Russian
Citation: É. A. Arinstein, “The Matsubara operator for the Fröhlich model”, TMF, 161:2 (2009), 243–255; Theoret. and Math. Phys., 161:2 (2009), 1529–1539
Citation in format AMSBIB
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  • https://doi.org/10.4213/tmf6435
  • https://www.mathnet.ru/eng/tmf/v161/i2/p243
    • This publication is cited in the following 1 articles:
    1. E. A. Arinshtein, “Variational Principle in Statistical Physics”, Russ. J. Phys. Chem., 96:7 (2022), 1386  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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