We study the linear part of the monodromy of completely integrable Hamiltonian systems via Bohr–Sommerfeld Geometric Quantization. We relate monodromy to the ambiguity in the choice of the pre–quantum connection and to the action of the (connected component of the) gauge group.

Monodromy and the Bohr--Sommerfeld Geometric Quantization

Sansonetto, Nicola
2012-01-01

Abstract

We study the linear part of the monodromy of completely integrable Hamiltonian systems via Bohr–Sommerfeld Geometric Quantization. We relate monodromy to the ambiguity in the choice of the pre–quantum connection and to the action of the (connected component of the) gauge group.
Geometric Quantization
Hamiltonian completely integrable systems
Hamiltonian monodromy
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11562/1028802
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