Special functions, raising and lowering operators

Details Special functions, raising and lowering operators Special functions, raising and lowering operators

2003-06-02

arxiv.org/abs/quant-ph/0306011v1

Inst. Phys. Conf. Ser. 173 (2003) 649-652

Physics

Quantum Physics

4 pages, presented at XXIV International Colloquium on Group Theoretical Methods in Physics (Paris, July 15-20, 2002)

Scientific paper

The Schrodinger equations which are exactly solvable in terms of associated special functions are directly related to some self-adjoint operators defined in the theory of hypergeometric type equations. The fundamental formulae occurring in a supersymmetric approach to these Hamiltonians are consequences of some formulae concerning the general theory of associated special functions. We use this connection in order to obtain a general theory of Schrodinger equations exactly solvable in terms of associated special functions, and to extend certain results known in the case of some particular potentials.

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