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Paper   IPM / Physic / 7365
School of Physics
  Title:   Superalgebras for the 3D Harmonic Oscillator and Morse Quantum Potentials
  Author(s):  H. Fakhri
  Status:   Published
  Journal: J. Nonlinear Math. Phys.
  Vol.:  11
  Year:  2004
  Pages:   361-375
  Supported by:  IPM
In addition to obtaining supersymmetric structure related to the partner Hamiltonians, we get another supersymmetric structure via factorization method for both the 3D harmonic oscillator and Morse quantum potentials. These two supersymmetries induce also an additional supersymmetric structure involving simultaneous laddering relations with respect to two different parameters for both models. These lead to the realizing of Heisenberg Lie suoeralgebras with two, four and six supercharges.

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