Geometric quantization of relativistic Hamiltonian mechanics
General Relativity and Quantum Cosmology
2007-05-23 v1 Mathematical Physics
math.MP
Quantum Physics
Abstract
A relativistic Hamiltonian mechanical system is seen as a conservative Dirac constraint system on the cotangent bundle of a pseudo-Riemannian manifold. We provide geometric quantization of this cotangent bundle where the quantum constraint serves as a relativistic quantum equation.
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Cite
@article{arxiv.gr-qc/0208073,
title = {Geometric quantization of relativistic Hamiltonian mechanics},
author = {G. Sardanashvily},
journal= {arXiv preprint arXiv:gr-qc/0208073},
year = {2007}
}
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9 pages