Geometric quantization of time-dependent completely integrable Hamiltonian systems

E. Fiorani; G. Giachetta; G. Sardanashvily

doi:10.1063/1.1502927

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Geometric quantization of time-dependent completely integrable Hamiltonian systems

E. Fiorani·G. Giachetta·G. Sardanashvily

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Abstract

A time-dependent completely integrable Hamiltonian system is quantized with respect to time-dependent action-angle variables near an instantly compact regular invariant manifold. Its Hamiltonian depends only on action variables, and has a time-independent countable energy spectrum.

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E. Fiorani, G. Giachetta, G. Sardanashvily. 2002-04-29. Geometric quantization of time-dependent completely integrable Hamiltonian systems. https://doi.org/10.1063/1.1502927

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