Qualitative analysis of the classical and quantum Manakov top

Evguenii Sinitsyn, Boris Zhilinskii

Research output: Contribution to journalArticle

2 Citations (Scopus)

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 languageEnglish
Article number046
JournalSymmetry, Integrability and Geometry: Methods and Applications (SIGMA)
Volume3
DOIs
Publication statusPublished - 2007
Externally publishedYes

Fingerprint

Qualitative Analysis
Monodromy
Diagram
Momentum
Path
Cell
Energy

Keywords

  • Energy-momentum diagram
  • Manakov top
  • Monodromy

ASJC Scopus subject areas

  • Analysis
  • Geometry and Topology
  • Mathematical Physics

Cite this

Qualitative analysis of the classical and quantum Manakov top. / Sinitsyn, Evguenii; Zhilinskii, Boris.

In: Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), Vol. 3, 046, 2007.

Research output: Contribution to journalArticle

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