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arxiv: quant-ph/0202093 · v2 · submitted 2002-02-18 · 🪐 quant-ph · math-ph· math.MP

Geometric quantization of time-dependent completely integrable Hamiltonian systems

classification 🪐 quant-ph math-phmath.MP
keywords hamiltoniantime-dependentcompletelyintegrablevariablesactionaction-anglecompact
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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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