Dirac quantization of free motion on curved surfaces
Quantum Physics
2014-11-18 v3
Abstract
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.
Keywords
Cite
@article{arxiv.quant-ph/0508044,
title = {Dirac quantization of free motion on curved surfaces},
author = {Alexey V. Golovnev},
journal= {arXiv preprint arXiv:quant-ph/0508044},
year = {2014}
}
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16 pages