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Teoreticheskaya i Matematicheskaya Fizika, 2003, Volume 136, Number 1, Pages 115–147
DOI: https://doi.org/10.4213/tmf213 (Mi tmf213) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Representation of Quantum Brownian Motion in the Collective Coordinate Method

A. I. Oksaka, A. D. Sukhanovb

a Russian Correspondence Institute of Textile and Light Industry
b Peoples Friendship University of Russia
Full-text PDF (382 kB) Citations (3)
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DOI: https://doi.org/10.4213/tmf213
Abstract: We consider two explicitly solvable models of quantum random processes described by the Langevin equation, namely, those for a “free” quantum Brownian particle and for a quantum Brownian harmonic oscillator. The Hamiltonian (string) realization of the models reveals a soliton-like structure of “classical” solutions. Accordingly, the zero-mode collective coordinate method turns out to be an adequate means for describing the quantum dynamics of the models.
Keywords: quantum Langevin equation, string thermostat model, temperature representations, asymptotic properties of covariation.
Received: 25.06.2002
Revised: 30.12.2002
English version:
Theoretical and Mathematical Physics, 2003, Volume 136, Issue 1, Pages 994–1021
DOI: https://doi.org/10.1023/A:1024501706847
Bibliographic databases:
Language: Russian
Citation: A. I. Oksak, A. D. Sukhanov, “Representation of Quantum Brownian Motion in the Collective Coordinate Method”, TMF, 136:1 (2003), 115–147; Theoret. and Math. Phys., 136:1 (2003), 994–1021
Citation in format AMSBIB
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\jour Theoret. and Math. Phys.
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\issue 1
\pages 994--1021
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  • https://www.mathnet.ru/eng/tmf/v136/i1/p115
    • This publication is cited in the following 3 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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