Affiliation:
1. Institute of Physics, Sachivalaya Marg, Bhubaneswar 751 005, India
2. Institute of Mathematical Sciences, Madras 600 113, India
Abstract
We construct a new form of supersymmetric quantum mechanics named orthosupersymmetric quantum mechanics. We show that there are p orthosupercharges Qα (α= 1,2, …, p) which satisfy the algebra [Formula: see text] where H is the Hamiltonian. The spectra of this class of systems are shown to be (p+1)-fold degenerate, at least above the ground state. We also discuss a model of conformal orthosupersymmetry of degree p and show that in this case there are p orthosupercharges, and p conformal orthosupercharges which along with H, dilatation generator D and conformal generator K form a closed algebra. A comparative discussion on parasupersymmetric and orthosupersymmetric quantum mechanics is also given.
Publisher
World Scientific Pub Co Pte Lt
Subject
Astronomy and Astrophysics,Nuclear and High Energy Physics,Atomic and Molecular Physics, and Optics
Cited by
24 articles.
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