Shape invariance, raising and lowering operators in hypergeometric type equations
量子物理
2009-11-07 v1
摘要
The Schr\" odinger 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 Schr\" odinger 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/0206129,
title = {Shape invariance, raising and lowering operators in hypergeometric type equations},
author = {N. Cotfas},
journal= {arXiv preprint arXiv:quant-ph/0206129},
year = {2009}
}
备注
LaTeX 2.09, 11 pages, IOP style (Bristol), All is included in only one .tex file, Please use for reply my e-address: [email protected]