Analytic Properties of Radial Wave Functions
Analytic Properties of Radial Wave Functions
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DOI：
10.1063/1.1703665
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发表时间：
1960-07
影响因子：
1.3
通讯作者：
R. Newton
中科院分区：
文献类型：
--
作者：
R. Newton
本文综述了径向波函数和其他与散射理论的部分波分析有关的物理量作为能量或波数的函数的性质。该处理仅限于具有局域势的两个粒子的非相对论性薛定谔方程。除了径向微分方程的正则解和不规则解外，还分析了Jost函数、S矩阵和Green函数，并证明了它们的完备性。详细研究的例子包括巴格曼势及其推广。
This is a review article about the properties of radial wave functions and other quantities relevant to the partial wave analysis of scattering theory, as functions of the energy or wave number. The treatment is restricted to the nonrelativistic Schrodinger equation for two particles with a local potential. In addition to regular and irregular solutions of the radial differential equations, the Jost function, S matrix, and Green's functions are analyzed and completeness is proved. The examples investigated in detail include the Bargmann potentials and their generalizations.