The N-dimensional Coulomb problem:: Stark effect in hyperparabolic and hyperspherical coordinates

被引：20
|
作者：
Saelen, L. [1 ]
Nepstad, R.
Hansen, J. P.
Madsen, L. B.
机构：
[1] Univ Bergen, Dept Phys & Technol, N-5007 Bergen, Norway
[2] Aarhus Univ, Dept Phys & Astron, Lundbeck Fdn Theoret Ctr Quantum Syst Res, DK-8000 Aarhus, Denmark
来源：
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2007年 / 40卷 / 05期
关键词：
D O I：
10.1088/1751-8113/40/5/015
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We calculate the first-order energy shifts for the N-dimensional hydrogen atom exposed to a static electric field. The results are compared with numerical diagonalization of the Hamiltonian in a finite basis. Using simple scaling relations, we show how corrections to arbitrarily high order may be obtained from known results for the three-dimensional Coulomb problem.
引用
收藏
页码：1097 / 1104
页数：8
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