Exact solution of the (1+1)-dimensional Dirac equation with vector and scalar linear potentials in the presence of a minimal length

被引：49

作者：

Chargui, Y. ^{[1
]}

Trabelsi, A. ^{[1
]}

Chetouani, L. ^{[2
]}

机构：

[1] Fac Sci Tunis, Unite Rech Phys Nucl & Hautes Energies, Tunis 1080, Tunisia

[2] Univ Constantine, Inst Phys, Dept Phys Theor, Constantine, Algeria

来源：

PHYSICS LETTERS A | 2010年 / 374卷 / 04期

关键词：

Dirac equation; Linear potential; Minimal length; UNCERTAINTY RELATION; QUANTUM-MECHANICS; HYDROGEN; OSCILLATOR;

D O I：

10.1016/j.physleta.2009.11.028

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We present an exact Solution of the (1 + 1)-dimensional Dirac equation with vector and scalar linear potentials in the context of modified quantum mechanics characterized by the presence of a non-zero minimum uncertainty in position. The bound-states energy spectrum and the corresponding momentum space wavefunctions are exactly obtained. Our findings are compared with approximated results existing in the literature. (C) 2009 Elsevier B.V. All rights reserved.

引用

页码：531 / 534

页数：4

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