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Teoreticheskaya i Matematicheskaya Fizika, 1982, Volume 53, Number 2, Pages 296–304 (Mi tmf4383)  
This article is cited in 3 scientific papers (total in 3 papers)

Quantum-mechanical Goryachev–Chaplygin top in a strong field

I. V. Komarov
Full-text PDF (792 kB) Citations (3)
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Abstract: It is shown that in a strong field the Goryachev–Chaplygin top behaves like a twodimensional harmonic oscillator with frequency ratio 1:2. Moreover, the second integral of the motion of the top goes over into the separation constant for the 2-oscillator in parabolic coordinates in the momentum space. The diagram correlating the energy levels of the top in the limits of weak and strong fields is found.
Received: 12.01.1982
English version:
Theoretical and Mathematical Physics, 1982, Volume 53, Issue 2, Pages 1136–1141
DOI: https://doi.org/10.1007/BF01016684
Bibliographic databases:
Language: Russian
Citation: I. V. Komarov, “Quantum-mechanical Goryachev–Chaplygin top in a strong field”, TMF, 53:2 (1982), 296–304; Theoret. and Math. Phys., 53:2 (1982), 1136–1141
Citation in format AMSBIB
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\by I.~V.~Komarov
\paper Quantum-mechanical Goryachev--Chaplygin top in a~strong field
\jour TMF
\yr 1982
\vol 53
\issue 2
\pages 296--304
\mathnet{http://mi.mathnet.ru/tmf4383}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=693279}
\transl
\jour Theoret. and Math. Phys.
\yr 1982
\vol 53
\issue 2
\pages 1136--1141
\crossref{https://doi.org/10.1007/BF01016684}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1982QX02000011}
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  • https://www.mathnet.ru/eng/tmf/v53/i2/p296
    • 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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    Full-text PDF :122
    References:44
    First page:1
     
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