2006/05/31 by Francisco Correa, Mikhail S. Plyushchay · 1 citation
Mathematics · Physics and Astronomy · #Nonlinear Waves and Solitons #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems #hep-th #math-ph #math.MP #nlin.SI #nucl-th #quant-ph
paper · pdf · doi:10.1016/j.aop.2006.12.002
published as AnnalsPhys.322:2493-2500,2007 · 4 pages; refs and comments added, to appear in Ann. Phys
arxiv created 2006/12/11 · openalex publication_date 2006/12/31 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We show that some simple well studied quantum mechanical systems without fermion (spin) degrees of freedom display, surprisingly, a hidden supersymmetry. The list includes the bound state Aharonov-Bohm, the Dirac delta and the Poschl-Teller potential problems, in which the unbroken and broken N=2 supersymmetry of linear and nonlinear (polynomial) forms is revealed.