Propagator of Dirac oscillator in 2D with the presence of the minimal length uncertainty

被引:14
|
作者
Benzair, H. [1 ]
Boudjedaa, T. [2 ]
Merad, M. [3 ]
机构
[1] Univ Kasdi Merbah Ouargla, Lab LRPPS, BP 511,Route Ghardaia, Ouargla 30000, Algeria
[2] Univ Jijel, Lab Phys Theor, BP98 Ouled Aissa, Jijel 18000, Algeria
[3] Univ Oum El Bouaghi, Lab LSDC, Fac Sci Exactes & Sci Vie, Dept Sci Mat, Oum El Bouaghi 04000, Algeria
来源
EUROPEAN PHYSICAL JOURNAL PLUS | 2017年 / 132卷 / 02期
关键词
QUANTUM-GRAVITY; PRINCIPLE; PARTICLE; REPRESENTATION;
D O I
10.1140/epjp/i2017-11353-8
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
In order to emphasize the role of quantum correction in two dimensions with the presence of the minimal length uncertainty relation, let us consider the case of relativistic Dirac oscillator in (2+1)dimensional momentum space. At modified midpoint discretization interval (pn = (pn + pn-1)/2) we can obtain the exact relativistic propagators, also the energy eigenvalues and their corresponding normalized radial momentum space eignefunctions are deduced.
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页数:9
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