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Teoreticheskaya i Matematicheskaya Fizika, 2014, Volume 180, Number 3, Pages 382–393
DOI: https://doi.org/10.4213/tmf8593 (Mi tmf8593) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Exact solution of a nonresonance Zwanzig model and “quantum chaos”

V. N. Likhachev, T. Yu. Astakhova, G. A. Vinogradov

Emanuel Institute for Biochemical Physics, RAS, Moscow, Russia
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DOI: https://doi.org/10.4213/tmf8593
Abstract: We consider the quantum dynamics of the Zwanzig model in the absence of resonance of an impurity site with a reservoir and obtain analytic expressions for the evolution of the impurity site population under different initial conditions. The agreement with numerical calculations is excellent. We analyze the possibility of the existence of quantum chaos in the model.
Keywords: Zwanzig model, quantum dynamics, quantum chaos.
Received: 06.09.2013
Revised: 31.03.2014
English version:
Theoretical and Mathematical Physics, 2014, Volume 180, Issue 3, Pages 1086–1095
DOI: https://doi.org/10.1007/s11232-014-0201-y
Bibliographic databases:
Language: Russian
Citation: V. N. Likhachev, T. Yu. Astakhova, G. A. Vinogradov, “Exact solution of a nonresonance Zwanzig model and “quantum chaos””, TMF, 180:3 (2014), 382–393; Theoret. and Math. Phys., 180:3 (2014), 1086–1095
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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