Qualitative analysis of the classical and quantum Manakov top

Evguenii Sinitsyn, Boris Zhilinskii

Research output: Contribution to journal › Article

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.

Original language	English
Article number	046
Journal	Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
Volume	3
DOIs	https://doi.org/10.3842/SIGMA.2007.046
Publication status	Published - 2007
Externally published	Yes

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Keywords

Energy-momentum diagram
Manakov top
Monodromy

ASJC Scopus subject areas

Analysis
Geometry and Topology
Mathematical Physics

Cite this

Sinitsyn, E., & Zhilinskii, B. (2007). Qualitative analysis of the classical and quantum Manakov top. Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), 3, [046]. https://doi.org/10.3842/SIGMA.2007.046

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Access to Document

10.3842/SIGMA.2007.046