SUSY QM in first-order Dirac equation
Department of Physics, Kumaun University - Nainital-263 002, India
This paper has now been formally withdrawn on ethical grounds based on the investigation that it bears too much similarity in style, content and overlaps to a previously published paper "Supersymmetric quantum mechanics in a first-order Dirac equation" by R. J. Hughes, V. A. Kostelecký and M. M. Nieto in Phys. Rev. D, 34 (1986) 1100.
Supersymmetric quantum mechanics of massless spin-1/2 particles in uniform magnetic field has been obtained with the chiral representation of Dirac matrices and it has been shown that the supersymmetric Dirac equation is invariant in spatial coordinates. Super-algebra OSP(1/2) has been generated and the conditions of spontaneous breaking of supersymmetry have been analysed.
PACS: 11.30.Pb – Supersymmetry / 03.65.Pm – Relativistic wave equations / 03.65.-w – Quantum mechanics
© EDP Sciences