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

共 50 条

[31] REGULARITY OF SOLUTION OF N-DIMENSIONAL MINKOWSKI PROBLEM
CHENG, SY
YAU, ST
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1976, 29 (05) : 495 - 516
[32] The n-dimensional analogue of a variational problem of Euler
Dierkes, Ulrich
Huisken, Gerhard
MATHEMATISCHE ANNALEN, 2024, 389 (04) : 3841 - 3863
[33] Alternative approach to the solution of the momentum-space Schrodinger equation for bound states of the N-dimensional Coulomb problem
Szmytkowski, Radoslaw
ANNALEN DER PHYSIK, 2012, 524 (6-7) : 345 - 352
[34] COULOMB GREENS-FUNCTIONS, IN AN N-DIMENSIONAL EUCLIDEAN-SPACE
CHETOUANI, L
HAMMANN, TF
JOURNAL OF MATHEMATICAL PHYSICS, 1986, 27 (12) : 2944 - 2948
[35] Energy Spectra of the Coulomb Perturbed Potential in N-Dimensional Hilbert Space
Kumar, Ramesh
Chand, Fakir
CHINESE PHYSICS LETTERS, 2012, 29 (06)
[36] EXACT SOLUTION OF THE N-DIMENSIONAL GENERALIZED DIRAC-COULOMB EQUATION
TUTIK, RS
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1992, 25 (08): : L413 - L417
[37] SPINOR REGULARIZATION OF THE N-DIMENSIONAL KEPLER-PROBLEM
CORDANI, B
REINA, C
LETTERS IN MATHEMATICAL PHYSICS, 1987, 13 (01) : 79 - 82
[38] On a linear interpolation problem for n-dimensional vector polynomials
Kudryavtsev, Mikhail
Palafox, Sergio
Silva, Luis O.
JOURNAL OF APPROXIMATION THEORY, 2015, 199 : 45 - 62
[39] Uniqueness for the n-dimensional half space Dirichlet problem
Siegel, D
Talvila, EO
PACIFIC JOURNAL OF MATHEMATICS, 1996, 175 (02) : 571 - 587
[40] A VOLUME PROBLEM FOR AN N-DIMENSIONAL ELLIPSOID INTERSECTING WITH A HYPERPLANE
LEE, SN
SHIH, MH
LINEAR ALGEBRA AND ITS APPLICATIONS, 1990, 132 : 93 - 102

← 1 2 3 4 5 →