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, India
2 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

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