Exact solution of the one-dimensional Klein-Gordon equation with scalar and vector linear potentials in the presence of a minimal length

被引：22

作者：

Chargui, Y. ^{[1
]}

Chetouani, L. ^{[2
]}

Trabelsi, A. ^{[1
]}

机构：

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

[2] Univ Constantine, Inst Phys, Dept Phys Theor, Route Ain El Bey, Constantine, Algeria

来源：

CHINESE PHYSICS B | 2010年 / 19卷 / 02期

关键词：

Klein-Gordon equation; linear potential; minimal length; exact solution; UNCERTAINTY RELATION; DIRAC-EQUATION; QUANTUM-MECHANICS; HYDROGEN; OSCILLATOR; PARTICLES;

D O I：

10.1088/1674-1056/19/2/020305

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Using the momentum space representation, we solve the Klein-Gordon equation in one spatial dimension for the case of mixed scalar and vector linear potentials in the context of deformed quantum mechanics characterized by a finite minimal uncertainty in position. The expressions of bound state energies and the associated wave functions are exactly obtained.

引用

页数：5

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