Convex polytopes and quantization of symplectic manifolds

AUTOR(ES)

Vergne, Michèle

FONTE

The National Academy of Sciences of the USA

RESUMO

Quantum mechanics associate to some symplectic manifolds M a quantum model Q(M), which is a Hilbert space. The space Q(M) is the quantum mechanical analogue of the classical phase space M. We discuss here relations between the volume of M and the dimension of the vector space Q(M). Analogues for convex polyhedra are considered.

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