Study of the one-dimensional Schroedinger equation generated from the hypergeometric equation

Study of the one-dimensional Schroedinger equation generated from the hypergeometric equation
复制标题

由超几何方程生成一维薛定谔方程的研究

DOI：
--
复制
发表时间：
1999
期刊：
影响因子：
--
通讯作者：
G. Natanzon
G. Natanzon
中科院分区：
--
文献类型：
--
作者：
G. Natanzon

文献摘要

被引文献

相似文献

原英文摘要。 - 提出了一种构建势的系统方法，其中单变量薛定谔方程可以用超几何（HGM）函数来求解。通过 HGM 方程的能量无关变换获得的所有势均与特征值和特征函数一起确定。通过极限过程找到从合流 HGM 方程导出的一类势
Original English Summary. - A systematic method of constructing potentials, for which the one-variable Schroedinger equation can be solved in terms of the hypergeometric (HGM) function, is presented. All the potentials, obtained by energy-independent transformations of the HGM equation, are determined together with eigenvalues and eigenfunctions. A class of potentials derived from the confluent HGM equation is found by means of a limit process