2 ELECTRONS IN A HOMOGENEOUS MAGNETIC-FIELD - PARTICULAR ANALYTICAL SOLUTIONS

被引：211
|
作者：
TAUT, M [1 ]
机构：
[1] CORNELL UNIV,ATOM & SOLID STATE PHYS LAB,ITHACA,NY 14853
来源：
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1994年 / 27卷 / 03期
关键词：
D O I：
10.1088/0305-4470/27/3/040
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Particular analytical solutions of the two-dimensional Schrodinger equation are described for two electrons (interacting with Coulomb potentials) in a homogeneous magnetic field B and an external oscillator potential with frequency omega0. These exact solutions occur at an infinite and countable set of values of the quantity omega = square-root omega0(2) + 1/4 (B/c)2. Additionally, approximate closed-form solutions for the limits of small omega (perturbation theory in the electron-electron interaction) and large omega (harmonic approximation) are discussed and compared with the exact solutions.
引用
收藏
页码：1045 / 1055
页数：11
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