Algebraic perturbation theory for hydrogen atom in weak electric fields

被引：4

作者：

Gusev, AA ^{[1
]}

Samoilov, VN ^{[1
]}

Rostovtsev, VA ^{[1
]}

Vinitsky, SI ^{[1
]}

机构：

[1] Joint Inst Nucl Res, Dubna 141980, Moscow Oblast, Russia

来源：

PROGRAMMING AND COMPUTER SOFTWARE | 2001年 / 27卷 / 01期

基金：

俄罗斯基础研究基金会;

关键词：

Hydrogen Atom; Perturbation Theory; Energy Spectrum; Quantum Number; Theory Scheme;

D O I：

10.1023/A:1007178501538

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

An algorithm for symbolic calculation of eigenvalues and eigenfunctions of a hydrogen atom in weak electric fields is suggested. A perturbation theory scheme is constructed that is based on an irreducible infinite-dimensional representation of algebra so(4.2) of the group of dynamical symmetry for the hydrogen atom [1]. The scheme implementation does not rely on the assumption that the independent variables of th perturbation operator can be separated, and fractional powers of parabolic quantum numbers are not used in the recurrent relations determining the operation of algebra generators on the corresponding basis of the irreducible representation [2]. A seventh-order correction to the energy spectrum of the hydrogen atom in a uniform electric field is given. The algorithm suggested is implemented in REDUCE 3.6 [4].

引用

页码：18 / 21

页数：4

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