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Paper   IPM / Physic / 7619
School of Physics
  Title:   N=2 Supersymmetries for Quantum States of the 1D Woods-Saxon and Periodic Scarf Potentials
1.  A. Chenaghlou
2.  H. Fakhri
  Status:   Published
  Journal: Int. J. Mod. Phys. A
  No.:  7
  Vol.:  20
  Year:  2005
  Pages:   1419-1440
  Supported by:  IPM
In addition to obtain ordinary SUSY representation related to the partner Hamiltonians, three other non-ordinary SUSY representations for the quantum states of 1D Woods-Saxon and periodic Scarf potentials are obtained by the factorization methods. The ordinary SUSY representation induces laddering relations for these two models with respect to the parameters n and m that are introduced in the paper, respectively. One of the non-ordinary SUSY representations involves the laddering relations of the two models with respect to the parameters m and n, respectively. Also, the other two of them induce laddering relations with respect to the parameters n and m simultaneously and inversely as well as simultaneously and agreeably.

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