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

Mathematics – Differential Geometry

Scientific paper

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11 pages, amstex

Scientific paper

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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