Qualitative Analysis of the Classical and Quantum Manakov Top

Details Qualitative Analysis of the Classical and Quantum Manakov Top Qualitative Analysis of the Classical and Quantum Manakov Top

2007-03-13

arxiv.org/abs/math-ph/0703045v1

SIGMA 3 (2007), 046, 23 pages

Physics

Mathematical Physics

This is a contribution to the Vadim Kuznetsov Memorial Issue on Integrable Systems and Related Topics, published in SIGMA (Sym

Scientific paper

10.3842/SIGMA.2007.046

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.

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