The one-dimensional spinless Salpeter Coulomb problem with minimal length

被引：10
|
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, Dept Phys Theor, Inst Phys, Constantine, Algeria
来源：
PHYSICS LETTERS A | 2010年 / 374卷 / 22期
关键词：
Spinless Salpeter equation; Coulomb potential; Minimal length; RELATIVISTIC WAVE-EQUATIONS; UNCERTAINTY RELATION; DISCRETE SPECTRA; DIRAC OSCILLATOR; DEFORMED SPACE; ENERGY BOUNDS; STATES; MASS;
D O I：
10.1016/j.physleta.2010.03.041
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We present an exact analytical treatment of the semi-relativistic spotless Salpeter equation with a one-dimensional Coulomb interaction in the context of quantum mechanics with modified Heisenberg algebra implying the existence of a minimal length. The problem is tackled in the momentum space representation. The bound-state energy equation and the corresponding wave functions are exactly obtained. (C) 2010 Elsevier B.V. All rights reserved.
引用
收藏
页码：2243 / 2247
页数：5
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