Time-Dependent 2D Harmonic Oscillator in Presence of the Aharanov-Bohm Effect

被引：0
作者：
Y. Bouguerra
M. Maamache
A. Bounames
机构：
[1] Université de Jijel,Laboratoire de Physique Théorique Faculté des Sciences
[2] Université Ferhat Abbas de Sétif,Laboratoire de Physique Quantique et Systèmes Dynamiques, Faculté des Sciences
[3] Université de Jijel,Laboratoire de Physique Théorique Faculté des Sciences
来源：
International Journal of Theoretical Physics | 2006年 / 45卷
关键词：
harmonic oscillator; magnetic field; Aharonov-Bohm effect; exact wave function;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We use the Lewis-Riesenfeld theory to determine the exact form of the wavefunctions of a two-dimensionnal harmonic oscillator with time-dependent mass and frequency in presence of the Aharonov-Bohm effect (AB). We find that the auxiliary equation is independent of the AB magnetic flux. In the particular case of quantized AB magnetic flux the wavefunctions coincide exactly with the wavefunctions of the 2D time-dependent harmonic oscillator.
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页码：1791 / 1797
页数：6
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