Quantum particle on hyperboloid
General Relativity and Quantum Cosmology
2009-11-10 v1 High Energy Physics - Theory
Mathematical Physics
math.MP
Quantum Physics
Abstract
We present quantization of particle dynamics on one-sheet hyperboloid embedded in three dimensional Minkowski space. Taking account of all global symmetries enables unique quantization. Making use of topology of canonical variables not only simplifies calculations but also gives proper framework for analysis.
Cite
@article{arxiv.gr-qc/0308030,
title = {Quantum particle on hyperboloid},
author = {Wlodzimierz Piechocki},
journal= {arXiv preprint arXiv:gr-qc/0308030},
year = {2009}
}
Comments
7 pages, no figures, revtex4