Special functions, raising and lowering operators
量子物理
2007-05-23 v1
摘要
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.
引用
@article{arxiv.quant-ph/0306011,
title = {Special functions, raising and lowering operators},
author = {Nicolae Cotfas},
journal= {arXiv preprint arXiv:quant-ph/0306011},
year = {2007}
}
备注
4 pages, presented at XXIV International Colloquium on Group Theoretical Methods in Physics (Paris, July 15-20, 2002)