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arxiv: math/0010104 · v1 · submitted 2000-10-11 · 🧮 math.DG · math.SG

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

classification 🧮 math.DG math.SG
keywords quantumapproachbohrbracketclassicalconnectingcorrespondencedynamics
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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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