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Paper   IPM / Physic / 6832
School of Physics
  Title:   On the Generalized Unitary Parasuersymmetry Algebra of Beckers-Debergh
1.  A. Chenaghlou
2.  H. Fakhri
  Status:   Published
  Journal: Int. J. Mod. Phys. A
  No.:  18
  Vol.:  18
  Year:  2003
  Pages:   939-955
  Supported by:  IPM
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.

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