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Geometric quantization of completely integrable Hamiltonian systems in the action-angle coordinatesстатья
- Авторы: Giachetta G., Mangiarotti L., Sardanashvily G.
- Журнал: ArXiv e-prints
- Номер: quant-ph/ 0112083
- Год издания: 2001
- Аннотация: We provide geometric quantization of a completely integrable Hamiltonian system in the action-angle variables around an invariant torus with respect to polarization spanned by almost-Hamiltonian vector fields of angle variables. The associated quantum algebra consists of functions affine in action coordinates. We obtain a set of its nonequivalent representations in the separable pre-Hilbert space of smooth complex functions on the torus where action operators and a Hamiltonian are diagonal and have countable spectra.
- Добавил в систему: Сарданашвили Геннадий Александрович