Qualitative Analysis of the Classical and Quantum Manakov Top

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dc.contributor.authorSinitsyn, E.
dc.contributor.authorZhilinskii, B.
dc.date.accessioned2019-02-16T08:42:21Z
dc.date.available2019-02-16T08:42:21Z
dc.date.issued2007
dc.description.abstractQualitative features of the Manakov top are discussed for the classical and quantum versions of the problem. Energy-momentum diagram for this integrable classical problem and quantum joint spectrum of two commuting observables for associated quantum problem are analyzed. It is demonstrated that the evolution of the specially chosen quantum cell through the joint quantum spectrum can be defined for paths which cross singular strata. The corresponding quantum monodromy transformation is introduced.uk_UA
dc.description.sponsorshipThis paper is a contribution to the Vadim Kuznetsov Memorial Issue ‘Integrable Systems and Related Topics’. This work was stimulated by the initial discussions with Vadim Kuznetsov. Authors thank Dr. D. Sadovskii for many fruitful discussions and Dr. C. Davison for discussing with us his recent results submitted for publication.uk_UA
dc.identifier.citationQualitative Analysis of the Classical and Quantum Manakov Top / E. Sinitsyn, B. Zhilinskii // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 36 назв. — англ.uk_UA
dc.identifier.issn1815-0659
dc.identifier.other2000 Mathematics Subject Classification: 37J15; 81V55
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/147817
dc.language.isoenuk_UA
dc.publisherІнститут математики НАН Україниuk_UA
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlieruk_UA
dc.titleQualitative Analysis of the Classical and Quantum Manakov Topuk_UA
dc.typeArticleuk_UA

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Symmetry, Integrability and Geometry: Methods and Applications, 2007, том 3, випуск за цей рік