arXiv:math-ph/0012030

Geometric quantization of non-relativistic and relativistic Hamiltonian mechanics

GIOVANNI GIACHETTA, Luigi Mangiarotti, Gennadi Aleksandrovich Sardanashvily

Published Dec 14, 2000• 0 citations

Abstract

We show that non-relativistic and relativistic mechanical systems on a configuration space Q can be seen as the conservative Dirac constraint systems with zero Hamiltonians on different subbundles of the same cotangent bundle T^*Q. The geometric quantization of this cotangent bundle under the vertical polarization leads to compatible covariant quantizations of non-relativistic and relativistic Hamiltonian mechanics.

DOI: 10.48550/arxiv.math-ph/0012030

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