Remarks on the Dirac oscillator in (2+1) dimensions

被引：26
作者：
Andrade, Fabiano M. [1 ]
Silva, Edilberto O. [2 ]
机构：
[1] Univ Estadual Ponta Grossa, Dept Matemat & Estat, BR-84030900 Ponta Grossa, PR, Brazil
[2] Univ Fed Maranhao, Dept Fis, BR-65085580 Sao Luis, MA, Brazil
来源：
EPL | 2014年 / 108卷 / 03期
关键词：
NEUTRAL FERMIONS; POTENTIALS; CONFINEMENT; PARTICLES;
D O I：
10.1209/0295-5075/108/30003
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this work the Dirac oscillator in (2 + 1) dimensions is considered. We solve the problem in polar coordinates and discuss the dependence of the energy spectrum on the spin parameter s and angular-momentum quantum number m. Contrary to earlier attempts, we show that the degeneracy of the energy spectrum can occur for all possible values of sm. In an additional analysis, we also show that an isolated bound state solution, excluded from Sturm-Liouville problem, exists. Copyright (C) EPLA, 2014
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页数：4
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