特殊功能，升降操作器
Special functions, raising and lowering operators
摘要：
薛定谔方程是一组可精确解的特殊函数，它与超几何型方程理论中定义的自伴算子直接相关。基本公式发生在一个超对称的方法，这些哈密顿是后果的一些公式有关的一般理论相关联的特殊功能。我们使用这种连接，以获得薛定谔方程的一般理论精确可解的相关的特殊功能，并延长某些结果已知的情况下，一些特殊的潜力。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
