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Teoreticheskaya i Matematicheskaya Fizika, 1980, Volume 43, Number 3, Pages 417–428 (Mi tmf3288)  
This article is cited in 189 scientific papers (total in 189 papers)

Quantum resonance for a rotator in a nonlinear periodic field

F. M. Izrailev, D. L. Shepelyanskii
Full-text PDF (1419 kB) Citations (189)
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Abstract: Behaviour of a plane quantum ratator under a timeperiodic perturbation given as delta-like “kicks” nonlinearly dependent on a phase is studied. The case of so-called quantum resonance is investigated both analytically and numerically. It is shown that for large times the rotator energy is proportional to $t^2$. The structure of quasi-energy spectrum is analysed and its continuity is proved.
Received: 06.03.1979
English version:
Theoretical and Mathematical Physics, 1980, Volume 43, Issue 3, Pages 553–561
DOI: https://doi.org/10.1007/BF01029131
Bibliographic databases:
Language: Russian
Citation: F. M. Izrailev, D. L. Shepelyanskii, “Quantum resonance for a rotator in a nonlinear periodic field”, TMF, 43:3 (1980), 417–428; Theoret. and Math. Phys., 43:3 (1980), 553–561
Citation in format AMSBIB
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\by F.~M.~Izrailev, D.~L.~Shepelyanskii
\paper Quantum resonance for a~rotator in~a~nonlinear periodic field
\jour TMF
\yr 1980
\vol 43
\issue 3
\pages 417--428
\mathnet{http://mi.mathnet.ru/tmf3288}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=580416}
\transl
\jour Theoret. and Math. Phys.
\yr 1980
\vol 43
\issue 3
\pages 553--561
\crossref{https://doi.org/10.1007/BF01029131}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1980KW98800012}
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    • This publication is cited in the following 189 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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    References:64
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