On the (2+1)-dimensional Dirac equation in a constant magnetic field with a minimal length uncertainty

被引：28

作者：

Pedram, P. ^{[1
]}

Amirfakhrian, M. ^{[1
]}

Shababi, H. ^{[1
]}

机构：

[1] Islamic Azad Univ, Sci & Res Branch, Dept Phys, Tehran, Iran

来源：

INTERNATIONAL JOURNAL OF MODERN PHYSICS D | 2015年 / 24卷 / 02期

关键词：

Generalized uncertainty principle; minimal length; Dirac equation; PLANCK-SCALE; HARMONIC-OSCILLATOR; QUANTUM-MECHANICS; STRING THEORY; PRINCIPLE; POSITION; MOMENTUM; SPACE;

D O I：

10.1142/S0218271815500169

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

In this paper, we exactly solve the (2+1)-dimensional Dirac equation in a constant magnetic field in the presence of a minimal length. Using a proper ansatz for the wave function, we transform the Dirac Hamiltonian into two two-dimensional nonrelativistic harmonic oscillator and obtain the solutions without directly solving the corresponding differential equations which are presented by Menculini et al. [Phys. Rev. D 87 (2013) 065017]. We also show that Menculini et al. solution is a subset of the general solution which is related to the even quantum numbers.

引用

页数：8

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