Quantum Mechanics on a Poincar\'e Hyperboloid
Mathematical Physics
2016-11-26 v2 math.MP
Quantum Physics
Abstract
We discuss the process to obtain Poisson brackets among the phase-space variables of a system of a charged particle on a Poincar\'e hyperboloid in the presence of a uniform magnetic field. We show that after quantization the Dirac bracket algebra becomes the algebra of ISO(1,2). The representation of this algebra is explicitly analyzed and the Hamiltonian of this system has been derived.
Cite
@article{arxiv.1308.5491,
title = {Quantum Mechanics on a Poincar\'e Hyperboloid},
author = {HyunCheol Song and Sang Gyu Jo},
journal= {arXiv preprint arXiv:1308.5491},
year = {2016}
}
Comments
22 pages, 3 figure