On the generalized unitary parasupersymmetry algebra of Beckers-Debergh

Abstract

An appropriate generalization of the unitary parasupersymmetry algebra of Beckers-Debergh to arbitrary order is presented in this paper. A special representation for realizing of the even arbitrary order unitary parasupersymmetry algebra of Beckers-Debergh is analyzed by one dimensional shape invariance solvable models, 2D and 3D quantum solvable models obtained from the shape invariance theory as well. In particular in the special representation, it is shown that the isospectrum Hamiltonians consist of the two partner Hamiltonians of the shape invariance theory.

17 pages, LaTex2e, A new section added, To appear in IJMPA

References in corpus (2)

• Algebraic Approach to Shape Invariance
• The partnership of potentials in Quantum Mechanics and Shape Invariance

Cited by in corpus (6)

• Fractional supersymmetry and hierarchy of shape invariant potentials
• Parasupersymmetry and N-fold Supersymmetry in Quantum Many-Body Systems I. General Formalism and Second Order
• Parasupersymmetry in Quantum Graphs
• Parasupersymmetry and N-fold Supersymmetry in Quantum Many-Body Systems II. Third Order
• N-fold Parasupersymmetry
• Two-step Shape Invariance in the Framework of N-fold Supersymmetry