Particle with spin 1 in a magnetic field on the hyperbolic plane H_{2}
Mathematical Physics
2011-10-13 v1 math.MP
Abstract
There are constructed exact solutions of the quantum-mechanical equation for a spin S=1 particle in 2-dimensional Riemannian space of constant negative curvature, hyperbolic plane, in presence of an external magnetic field, analogue of the homogeneous magnetic field in the Minkowski space. A generalized formula for energy levels describing quantization of the motion of the vector particle in magnetic field on the 2-dimensional space H_{2} has been found, nonrelativistic and relativistic equations have been solved.
Keywords
Cite
@article{arxiv.1110.2692,
title = {Particle with spin 1 in a magnetic field on the hyperbolic plane H_{2}},
author = {E. M. Ovsiyuk and O. V. Veko},
journal= {arXiv preprint arXiv:1110.2692},
year = {2011}
}
Comments
20 pages