Degeneracy and Para-supersymmetry of Dirac Hamiltonian in (2+1)- Spacetime

Details Degeneracy and Para-supersymmetry of Dirac Hamiltonian in (2+1)- Spacetime Degeneracy and Para-supersymmetry of Dirac Hamiltonian in (2+1)- Spacetime

1999-04-24

arxiv.org/abs/hep-th/9904166v1

J.Math.Phys. 40 (1999) 4274-4289

Physics

High Energy Physics

High Energy Physics - Theory

31 pages, Latex, no figures, to be published in J. Math. Phys

Scientific paper

10.1063/1.532965

The quantum mechanics of a spin 1/2 particle on a locally spatial constant curvature part of a (2+1)- spacetime in the presence of a constant magnetic field of a magnetic monopole has been investigated. It has been shown that these 2-dimensional Hamiltonians have the degeneracy group of SL(2,c), and para-supersymmetry of arbitrary order or shape invariance. Using this symmetry we have obtained its spectrum algebraically. The Dirac's quantization condition has been obtained from the representation theory. Also, it is shown that the presence of angular deficit suppresses both the degeneracy and shape invariance.

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