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Hamiltonian dynamics on the moduli space of half weighted Bohr - Sommerfeld Lagrangian subcycles of a fixed volume

N. Tyurin
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Abstract

Connecting ideas of geometric formulation of quantum mechanics with new results in symplectic geometry a new approach to geometrical quantization procedure is proposed. As a first result we verify that the correspondence between "classical" Poisson bracket and "quantum" one takes place.

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N. Tyurin. 2000-10-11. Hamiltonian dynamics on the moduli space of half weighted Bohr - Sommerfeld Lagrangian subcycles of a fixed volume. https://arxiv.org/abs/math/0010104

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