Non-commutative harmonic oscillator in magnetic field and continuous limit

被引：0
|
作者：
Jian Jing
Jian-Feng Chen
机构：
[1] Beijing University of Chemical Technology,Key Lab for Nanomaterials, Ministry of Education
[2] Beijing University of Chemical Technology,Department of Physics and Electronic, School of Science
来源：
The European Physical Journal C | 2009年 / 60卷
关键词：
11.10.Ef; 11.10.Nx;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The spectra of a charged harmonic oscillator minimally coupled to a perpendicular magnetic field in the non-commutative plane are studied by using the path integral formulation. We get the spectra in a mapping-independent way. Interestingly, we find that the spectra have no continuous limit when the dimensionless parameter tends to zero. In order to get a finite result, a truncation is inevitable. Finally, we give a reasonable explanation of truncation from the constrained theory point of view.
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页码：669 / 674
页数：5
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