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Paper   IPM / Physic / 7604
School of Physics
  Title:   Ladder Operators for the Associated Laguerre Functions
1.  H. Fakhri
2.  A. Chenaghlou
  Status:   Published
  Journal: J. Phys. A: Math. Gen.
  No.:  30
  Vol.:  37
  Year:  2004
  Pages:   7499-7507
  Supported by:  IPM
Introducing the associated Laguerre functions in terms of two non-negative integers, we obtain simultaneously and separately realization of the laddering equations with respect to each of the integers by means of two pairs of ladder operators. Besides, two different types of shape-invariance symmetries are realized. This approach leads to a derivation of shape-invariance equations of third type which are realized by two simultaneous raising and lowering operators of two parameters.

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