Abstract
This article is based on a talk given in Dijon for the 2000 summer school ‘Topological and Geometrical Methods: Applications to Dynamical Systems’. The standard definitions of the monodromy invariant for completely integrable classical systems are reviewed, and the link to the quantum monodromy observed in the joint spectrum of commuting operators is explained. The mathematical treatment relies on a modern and attractive version of the Bohr–Sommerfeld quantisation rules.
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San, V.N. Quantum Monodromy and Bohr–Sommerfeld Rules. Letters in Mathematical Physics 55, 205–217 (2001). https://doi.org/10.1023/A:1010944312712
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DOI: https://doi.org/10.1023/A:1010944312712