Supersymmetry-based Approach to Quantum Particle Dynamics
High Energy Physics - Theory
2009-11-07 v1
Abstract
We present the N=2 supersymmetric formulation for the classical and quantum dynamics of a nonrelativistic charged particle on a curved surface in the presence of a perpendicular magnetic field. For a particle moving on a constant-curvature surface in a constant magnetic field, our Hamiltonian possesses the shape-invariance property in addition. On the surface of a sphere and also on the hyperbolic plane, we exploit the supersymmetry and shape-invariance properties to obtain complete solutions to the corresponding quantum mechanical problems.
Cite
@article{arxiv.hep-th/0112120,
title = {Supersymmetry-based Approach to Quantum Particle Dynamics},
author = {Seok Kim and Choonkyu Lee},
journal= {arXiv preprint arXiv:hep-th/0112120},
year = {2009}
}
Comments
revtex, 24pages, no figure