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

页码：1097 / 1104

页数：8

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