Qualitative Analysis of the Classical and Quantum Manakov Top

Qualitative Analysis of the Classical and Quantum Manakov Top

Qualitative 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...

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Bibliographic Details
Main Authors: Evguenii Sinitsyn, Boris Zhilinskii
Format: Article
Language:English
Published: National Academy of Science of Ukraine 2007-03-01
Series:Symmetry, Integrability and Geometry: Methods and Applications
Subjects:
Manakov top
energy-momentum diagram
monodromy
Online Access:http://www.emis.de/journals/SIGMA/2007/046/
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spelling doaj-c7e5e13ef520450d8f5320330d5765f82020-11-25T01:25:24ZengNational Academy of Science of UkraineSymmetry, Integrability and Geometry: Methods and Applications1815-06592007-03-013046Qualitative Analysis of the Classical and Quantum Manakov TopEvguenii SinitsynBoris ZhilinskiiQualitative 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.http://www.emis.de/journals/SIGMA/2007/046/Manakov topenergy-momentum diagrammonodromy
collection DOAJ
language English
format Article
sources DOAJ
author Evguenii Sinitsyn
Boris Zhilinskii
spellingShingle Evguenii Sinitsyn
Boris Zhilinskii
Qualitative Analysis of the Classical and Quantum Manakov Top
Symmetry, Integrability and Geometry: Methods and Applications
Manakov top
energy-momentum diagram
monodromy
author_facet Evguenii Sinitsyn
Boris Zhilinskii
author_sort Evguenii Sinitsyn
title Qualitative Analysis of the Classical and Quantum Manakov Top
title_short Qualitative Analysis of the Classical and Quantum Manakov Top
title_full Qualitative Analysis of the Classical and Quantum Manakov Top
title_fullStr Qualitative Analysis of the Classical and Quantum Manakov Top
title_full_unstemmed Qualitative Analysis of the Classical and Quantum Manakov Top
title_sort qualitative analysis of the classical and quantum manakov top
publisher National Academy of Science of Ukraine
series Symmetry, Integrability and Geometry: Methods and Applications
issn 1815-0659
publishDate 2007-03-01
description Qualitative 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.
topic Manakov top
energy-momentum diagram
monodromy
url http://www.emis.de/journals/SIGMA/2007/046/
work_keys_str_mv AT evgueniisinitsyn qualitativeanalysisoftheclassicalandquantummanakovtop
AT boriszhilinskii qualitativeanalysisoftheclassicalandquantummanakovtop
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