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Qualitative Analysis of the Classical and Quantum Manakov Top
Репозиторій DSpace/Manakin
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- Фізико-технічні та математичні науки
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- Відділення математики
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2007, том 3
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- Symmetry, Integrability and Geometry: Methods and Applications, 2007, том 3, випуск за цей рік
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Qualitative Analysis of the Classical and Quantum Manakov Top
Інший ID:
2000 Mathematics Subject Classification: 37J15; 81V55
Посилання:
Qualitative 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.
Підтримка:
This 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.
Дата:
2007
Переглядів:
569
Завантажень:
266
Анотація:
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.
