| Higher dimensional supersymmetric quantum
mechanics and Dirac equation L P SINGH 1 and B RAM2 1 Department of Physics, Utkal University, Vani Vihar, Bhubaneswar 751 004, India2 Physics Department, New Mexico State University, Las Cruces, New Mexico 88003, USA Email: lambodar@iopb.res.in Abstract. We exhibit the supersymmetric quantum mechanical structure of the full 3+1 dimensional Dirac equation considering 'mass' as a function of coordinates. Its usefulness in solving potential problems is discussed with specific examples. We also discuss the 'physical' significance of the supersymmetric states in this formalism. Keywords: Supersymmetric quantum mechanics; Dirac equation. Pacs Nos. 11.30.Pb; 12.60.Jv; 03.65.Pm |