The q-deformed Dirac oscillator in 2+1 dimensions

被引：14

作者：

Hatami, N. ^{[1
]}

Setare, M. R. ^{[1
]}

机构：

[1] Univ Kurdistan, Dept Sci, Sanandaj, Iran

来源：

PHYSICS LETTERS A | 2016年 / 380卷 / 42期

关键词：

Dirac oscillator; q-Deformation; Creation and annihilation operators; The lowest Landau levels; Graphene; HARMONIC-OSCILLATOR; Q-ANALOGS; SPECTRUM; ALGEBRAS; DEFORMATION; UNCERTAINTY; MOLECULES; OPERATORS; FIELD;

D O I：

10.1016/j.physleta.2016.08.049

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper we obtain the Hamiltonian of Dirac oscillator in an external magnetic field in terms of q-deformed creation and annihilation operators in 2 + 1 dimensions. For this system, we find coordinate representations of q-deformed creation and annihilation operators, eigenvalues and eigenfunctions. We also construct the lowest Landau levels exactly by applying the q-deformed Dirac annihilation operator to the vacuum state. This system may be considered for the study of graphene in the q-deformed version. (C) 2016 Elsevier B.V. All rights reserved.

引用

页码：3469 / 3472

页数：4

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