Static and dynamical manifestations of Hamiltonian monodromy

The word monodromy means once around a course , and it refers to changes that might occur when a system goes around some closed loop [1]. We discuss here a phenomenon whose proper name is nontrivial monodromy of action and angle variables in a Hamiltonian system ; for the obvious reason, we just cal...

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Published inJournal of physics. Conference series Vol. 99; no. 1; p. 012005
Main Authors Delos, J B, Schleif, C R, Dhont, G
Format Journal Article
LanguageEnglish
Published Bristol IOP Publishing 01.02.2008
Subjects
Closed loops
Hamiltonian functions
Mathematical analysis
Physics
Quantum theory
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ISSN1742-6596
1742-6588
1742-6596
DOI10.1088/1742-6596/99/1/012005

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Summary:The word monodromy means once around a course , and it refers to changes that might occur when a system goes around some closed loop [1]. We discuss here a phenomenon whose proper name is nontrivial monodromy of action and angle variables in a Hamiltonian system ; for the obvious reason, we just call it Hamiltonian monodromy . In this paper we describe two manifestations of Hamiltonian monodromy: a manifestation in a time-dependent classical system, and a manifestation in a stationary quantum system. Then we give a brief description of the mathematical theory, and finally close with a short survey of previous work on this subject.
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ISSN:1742-6596
1742-6588
1742-6596
DOI:10.1088/1742-6596/99/1/012005