vix.ing · top · new · best · stats

Dynamical Supersymmetry of a Vortex System with 1/r2 Potential

1994/12/29 by Younghoon Park, Young-Hoon Park, Park, Younghoon +2
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/9412225

revtex 3.0, 13 pages, no figure

arxiv created 1994/12/29 · openalex publication_date 1994/12/29 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The Pauli Hamiltonian for a spin (1)/(2) charged particle interacting with a point magnetic vortex and 1/r2 potential exhibits a dynamical supersymmetry 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.

Related