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Paper   IPM / Physic / 7655
School of Physics
  Title:   The Hierarchy of Hamiltonians for Spherical Woods-Saxon Potential
1.  J. Sadeghi
2.  M.R. Pahlavani
  Status:   Published
  Journal: African Journal of Mathematical Physics
  No.:  2
  Vol.:  1
  Year:  2004
  Pages:   195-199
  Supported by:  IPM
The three dimensional Woods- Saxon potential is studied within the context of Super-symmetry Quantum Mechanics. We obtain hierarchy of hamiltonians related to Woods-Saxon superpotentials that have not been determined yet. In the basis of supersymmetry method, we obtain the shape invariant superfamily related to original Woods-Saxon potential. Also we derive n-th ground state energy,εn0 corresponding to n-th superpotential associated to generalized Woods-Saxon potential. The results obtained here are consistent with results obtained from another ways. The generalized Woods-Saxon potential obtained here completely shape invariant. By application of this method, it is possible to solve the Schr?dinger equation for this potential.

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