Exact Solution of D-Dimensional Klein-Gordon Oscillator with Minimal Length

被引：34

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, Constantine, Algeria

来源：

COMMUNICATIONS IN THEORETICAL PHYSICS | 2010年 / 53卷 / 02期

关键词：

Klein-Gordon oscillator; minimal length; energy spectrum; GENERALIZED UNCERTAINTY PRINCIPLE; ELECTRON; CPT;

D O I：

10.1088/0253-6102/53/2/05

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Specific modifications of the usual canonical commutation relations between position and momentum operators have been proposed in the literature in order to implement the idea of the existence of a minimal observable length. Here, we study a consequence of this proposal in relativistic quantum mechanics by solving in the momentum space representation the Klein-Gordon oscillator in arbitrary dimensions. The exact bound states spectrum and the corresponding momentum space wave function are obtained. Following Chang et al. (Phys. Rev. D65 (2002) 125027), we discuss constraint that can be placed on the minimal length by measuring the energy levels of an electron in a penning trap.

引用

页码：231 / 236

页数：6

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