NONCOMMUTATIVE SPACE CORRECTIONS ON THE KLEINGORDON AND DIRAC OSCILLATORS SPECTRA

被引：19
|
作者：
Maluf, Roberto V. [1 ]
机构：
[1] Univ Sao Paulo, Inst Fis, Cidade Univ, BR-05315970 Sao Paulo, Brazil
来源：
INTERNATIONAL JOURNAL OF MODERN PHYSICS A | 2011年 / 26卷 / 29期
关键词：
Dirac oscillator; noncommutative space; nonrelativistic energy spectrum; QUANTUM-MECHANICS; FIELD-THEORY;
D O I：
10.1142/S0217751X11054887
中图分类号：
O57 [原子核物理学、高能物理学];
学科分类号：
070202 ;
摘要：
We consider the influence of a noncommutative space on the Klein-Gordon and the Dirac oscillators. The nonrelativistic limit is taken and the theta-modified Hamiltonians are determined. The corrections of these Hamiltonians on the energy levels are evaluated in first-order perturbation theory. It is observed a total lifting of the degeneracy to the considered levels. Such effects are similar to the Zeeman splitting in a commutative space.
引用
收藏
页码：4991 / 5003
页数：13
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