vix.ing · top · new · best · stats · spec

Geometric quantization of relativistic Hamiltonian mechanics

2002/08/25 by G. Sardanashvily
Physics and Astronomy · Mathematics · #gr-qc #math-ph #math.MP #quant-ph

paper · pdf

published as Int.J.Theor.Phys. 42 (2003) 697-704 · 9 pages

arxiv created 2002/08/25 · arxiv updated 2009/11/30

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.

Related