Special functions, raising and lowering operators

Nicolae Cotfas

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arXiv · quant-ph/0306011

Special functions, raising and lowering operators

Nicolae Cotfas

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Abstract

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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Nicolae Cotfas. 2003-06-02. Special functions, raising and lowering operators. https://arxiv.org/abs/quant-ph/0306011

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