Path Integrals, and Classical and Quantum Constraints

Details Path Integrals, and Classical and Quantum Constraints Path Integrals, and Classical and Quantum Constraints

2005-07-22

arxiv.org/abs/quant-ph/0507222v1

Physics

Quantum Physics

17 pages, no figures, path integral conference (PI2005) contribution

Scientific paper

Systems with constraints pose problems when they are quantized. Moreover, the Dirac procedure of quantization prior to reduction is preferred. The projection operator method of quantization, which can be most conveniently described by coherent state path integrals, enables one to directly impose a regularized form of the quantum constraints. This procedure also overcomes conventional difficulties with normalization and second class constraints that invalidate conventional Dirac quantization procedures.

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