On the Path Integral Treatment for an Aharonov-Bohm Field on the Hyperbolic Plane
Quantum Physics
2007-05-23 v1
Abstract
In this paper I discuss by means of path integrals the quantum dynamics of a charged particle on the hyperbolic plane under the influence of an Aharonov-Bohm gauge field. The path integral can be solved in terms of an expansion of the homotopy classes of paths. I discuss the interference pattern of scattering by an Aharonov-Bohm gauge field in the flat space limit, yielding a characteristic oscillating behavior in terms of the field strength. In addition, the cases of the isotropic Higgs-oscillator and the Kepler-Coulomb potential on the hyperbolic plane are shortly sketched.
Keywords
Cite
@article{arxiv.quant-ph/9808060,
title = {On the Path Integral Treatment for an Aharonov-Bohm Field on the Hyperbolic Plane},
author = {Christian Grosche},
journal= {arXiv preprint arXiv:quant-ph/9808060},
year = {2007}
}
Comments
LaTeX 12 pp., one figure