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Geometric quantization of relativistic Hamiltonian mechanics

G. Sardanashvily
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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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G. Sardanashvily. 2002-08-25. Geometric quantization of relativistic Hamiltonian mechanics. https://arxiv.org/abs/gr-qc/0208073

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