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

页码：2243 / 2247

页数：5

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