Qualitative Analysis of the Classical and Quantum Manakov Top

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dc.creatorSinitsyn, Evguenii
dc.creatorZhilinskii, Boris
dc.date2007-03-13
dc.date.accessioned2026-07-07T09:34:28Z
dc.date.available2026-07-07T09:34:28Z
dc.descriptionQualitative 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.
dc.descriptionThis is a contribution to the Vadim Kuznetsov Memorial Issue on Integrable Systems and Related Topics, published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/
dc.identifierhttps://arxiv.org/abs/math-ph/0703045
dc.identifierhttp://arxiv.org/abs/math-ph/0703045
dc.identifierSIGMA 3 (2007), 046, 23 pages
dc.identifierdoi:10.3842/SIGMA.2007.046
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/159505
dc.subjectMathematical Physics
dc.subjectSymplectic Geometry
dc.subjectQuantum Physics
dc.titleQualitative Analysis of the Classical and Quantum Manakov Top
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