Geometric quantization of non-relativistic and relativistic Hamiltonian mechanics

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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.
18 pages

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Mathematical Physics, High Energy Physics - Theory, Quantum Physics

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http://salesiana.dossiersoluciones.com/handle/123456789/56697

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math-ph/0012030
 http://arxiv.org/abs/math-ph/0012030

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arXiv