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IPM
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“School of Physics”

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Paper   IPM / P / 6924
School of Physics
  Title:   Relations Between 1D Shape Invariant Potentials and the Commutation Relations of Lie Algebra sl(2,c)
  Author(s):  H. Fakhri
  Status:   Published
  Journal: Phys. Lett. A
  No.:  52
  Vol.:  308
  Year:  2003
  Pages:   120-130
  Supported by:  IPM
  Abstract:
A wide range of 1D shape invariant potentials lie in two different classes. In either of these classes the quantum states are distinguished by both of the main and the secondary quantum numbers n and m. We show that quantum states of the first and of the second classes represent shape invariance with respect to n and m, respectively. We also analyze the relationship between these two classes with Lie algebra sl(2,c).

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