English

Dynamical Supersymmetry of a Vortex System with $1/r^{2}$ Potential

High Energy Physics - Theory 2007-05-23 v1

Abstract

The Pauli Hamiltonian for a spin 12\frac{1}{2} charged particle interacting with a point magnetic vortex and 1/r21/r^{2} potential exhibits a dynamical supersymmetry Osp(1,1)Osp(1,1) on the plane except at the origin. Using this symmetry, the spectrum and the wave functions have been obtained. And, the dynamical supersymmetry could be imported to the case when an external harmonic potential is added.

Keywords

Cite

@article{arxiv.hep-th/9412225,
  title  = {Dynamical Supersymmetry of a Vortex System with $1/r^{2}$ Potential},
  author = {Younghoon Park and Yongsung Yoon},
  journal= {arXiv preprint arXiv:hep-th/9412225},
  year   = {2007}
}

Comments

revtex 3.0, 13 pages, no figure