Common generating function for two-dimensional hydrogen atom complete wave functions

被引：3
|
作者：
Chaos-Cador, L. [1 ]
Ley-Koo, E. [1 ]
机构：
[1] Univ Nacl Autonoma Mexico, Inst Fis, Mexico City 01000, DF, Mexico
来源：
INTERNATIONAL JOURNAL OF QUANTUM CHEMISTRY | 2007年 / 107卷 / 01期
关键词：
two-dimensional hydrogen atom; wave functions; generating functions; harmonic oscillators;
D O I：
10.1002/qua.21052
中图分类号：
O64 [物理化学（理论化学）、化学物理学];
学科分类号：
070304 ; 081704 ;
摘要：
The Schrodinger equation for the two-dimensional hydrogen atom is known to be separable and integrable in circular, parabolic, and elliptical coordinates. This makes it possible to construct a common generating function for the complete wave functions of the atom in the respective coordinates. The connections with the corresponding generating function and wave functions for the harmonic oscillator are recognized and applied in this work. (C) 2006 Wiley Periodicals, Inc.
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页码：12 / 22
页数：11
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