Dirac quantization of free motion on curved surfaces

Details Dirac quantization of free motion on curved surfaces Dirac quantization of free motion on curved surfaces

2005-08-04

arxiv.org/abs/quant-ph/0508044v3

International Journal of Geometric Methods in Modern Physics, Vol. 3, No. 4 (2006) 655-666

Physics

Quantum Physics

16 pages

Scientific paper

10.1142/S0219887806001326

We give an explicit operator realization of Dirac quantization of free
particle motion on a surface of codimension 1. It is shown that the Dirac
recipe is ambiguous and a natural way of fixing this problem is proposed. We
also introduce a modification of Dirac procedure which yields zero quantum
potential. Some problems of abelian conversion quantization are pointed out.

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