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Teoreticheskaya i Matematicheskaya Fizika, 2015, Volume 185, Number 1, Pages 86–98
DOI: https://doi.org/10.4213/tmf8902 (Mi tmf8902) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Quantum particle in a random medium

G. V. Efimov

Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Dubna, Moscow Oblast, Russia
Full-text PDF (382 kB) Citations (2)
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DOI: https://doi.org/10.4213/tmf8902
Abstract: We describe the behavior of a quantum particle in a random medium using the Green's function in the functional integral representation and propose methods for evaluating it. We calculate the localization length in the case of motion in a disordered medium and in a medium described by a random Gaussian-type potential. We consider the motion of the quantum particle in the quantized-field vacuum and show the difference between the relativistic and nonrelativistic approaches.
Keywords: quantum mechanics, random medium, localization length, Green's function, functional integral, nonrelativistic dynamics, relativistic dynamics.
English version:
Theoretical and Mathematical Physics, 2015, Volume 185, Issue 1, Pages 1433–1444
DOI: https://doi.org/10.1007/s11232-015-0352-5
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: G. V. Efimov, “Quantum particle in a random medium”, TMF, 185:1 (2015), 86–98; Theoret. and Math. Phys., 185:1 (2015), 1433–1444
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tmf8902
  • https://doi.org/10.4213/tmf8902
  • https://www.mathnet.ru/eng/tmf/v185/i1/p86
    • This publication is cited in the following 2 articles:
    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 :181
    References:52
    First page:32
     
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