Quantization of spinning particle in arbitrary background
High Energy Physics - Theory
2009-11-07 v1
Abstract
The article is a natural continuation of the papers by Gavrilov and Gitman (Class.Quant.Grav. {\bf 17} (2000) L133; Int. J. Mod. Phys. A15 (2000) 4499) devoted to relativistic particle quantization. Here we generalize the problem, considering the quantization of a spinning particle in arbitrary gravitational background. The nontriviality of such a generalization is related to the neccessity of solving complicated ordering problems. Similar to the flat space-time case, we show in the course of the canonical quantization how a consistent relativistic quantum mechanics of spinning particle in gravitational and electromagnetic backgrounds can be constructed.
Cite
@article{arxiv.hep-th/0104121,
title = {Quantization of spinning particle in arbitrary background},
author = {S. P. Gavrilov and D. M. Gitman},
journal= {arXiv preprint arXiv:hep-th/0104121},
year = {2009}
}
Comments
14 pages, LaTex file