Research in Engineering and Aviation

A Supersymmetric Dirac Oscillator with Scalar Coupling


Author(s): Dixit, V.V., Santhanam, T.S., and  Thacker, W.D.

Journal: Journal of Mathematical Physics, Vol. 33, pp.1114-1117 (1992). DOI: 10.1063/1.529775


It is shown that a relativistic wave equation with a scalar coupling correctly describes the Dirac oscillator in the sense that in the nonrelativistic limit this results in the Schrödinger equation for the harmonic oscillator with an extra σ⋅math term. It is demonstrated that this equation has built‐in supersymmetry, and that it guarantees the stability of the Dirac vacuum.