Geodesic
Exact solution of a~nonresonance Zwanzig model and ``quantum chaos''
Teoretičeskaâ i matematičeskaâ fizika, Tome 180 (2014) no. 3, pp. 382-393

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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. 
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     author = {V. N. Likhachev and T. Yu. Astakhova and G. A. Vinogradov},
     title = {Exact solution of a~nonresonance {Zwanzig} model and ``quantum chaos''},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {382--393},
     publisher = {mathdoc},
     volume = {180},
     number = {3},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2014_180_3_a6/}
}
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V. N. Likhachev; T. Yu. Astakhova; G. A. Vinogradov. Exact solution of a~nonresonance Zwanzig model and ``quantum chaos''. Teoretičeskaâ i matematičeskaâ fizika, Tome 180 (2014) no. 3, pp. 382-393. http://geodesic.mathdoc.fr/item/TMF_2014_180_3_a6/