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Symmetry, Integrability and Geometry: Methods and Applications, 2007, Volume 3, 046, 23 pp.
DOI: https://doi.org/10.3842/SIGMA.2007.046 (Mi sigma172) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Qualitative Analysis of the Classical and Quantum Manakov Top

Evguenii Sinitsyna, Boris Zhilinskiib

a Physics Department, Tomsk State University, 634050 Tomsk, Russia
b Université du Littoral, UMR du CNRS 8101, 59140 Dunkerque, France
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DOI: https://doi.org/10.3842/SIGMA.2007.046
Abstract: 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.
Keywords: Manakov top; energy-momentum diagram; monodromy.
; Published online March 13, 2007
Bibliographic databases:
Document Type: Article
MSC: 37J15; 81V55
Language: English
Citation: Evguenii Sinitsyn, Boris Zhilinskii, “Qualitative Analysis of the Classical and Quantum Manakov Top”, SIGMA, 3 (2007), 046, 23 pp.
Citation in format AMSBIB
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\by Evguenii Sinitsyn, Boris Zhilinskii
\paper Qualitative Analysis of the Classical and Quantum Manakov Top
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\yr 2007
\vol 3
\papernumber 046
\totalpages 23
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    		Symmetry, Integrability and Geometry: Methods and Applications
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