Wave functions of a time-dependent harmonic oscillator in a static magnetic field

被引：18
|
作者：
Ferreira, CAS [1 ]
Alencar, PTS [1 ]
Bassalo, JMF [1 ]
机构：
[1] UFPA, Dept Phys, BR-66075900 Belem, Para, Brazil
来源：
PHYSICAL REVIEW A | 2002年 / 66卷 / 02期
关键词：
D O I：
10.1103/PhysRevA.66.024103
中图分类号：
O43 [光学];
学科分类号：
070207 ; 0803 ;
摘要：
In this paper, we solve for the exact wave functions of a two-dimensional harmonic oscillator under the influence of a static magnetic field. This is done through the use of the so-called Ermakov invariants, similarity transformed so as to obtain a time-independent Schrodinger equation. In the same manner, time-dependent eigenvalues are also computed. It is shown that previous results for the invariants are particular cases for the ones found in this work.
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页码：1 / 4
页数：4
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