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

被引：0

作者：

Y.Chargui ^{[1
]}

L.Chetouani ^{[2
]}

A.Trabelsi ^{[3
,4
]}

机构：

[1] Unit de Recherche de Physique Nuclaire et des Hautes Energies, Facult des Sciences de Tunis

[2] Dpartement de Physique Thorique, Institut de Physique, Universit de Constantine, Route Ain El Bey

[3] Unite de Recherche de Physique Nucleaire et des Hautes Energies, Faculte des Sciences de Tunis

[4] Centre National des Sciences et Technologies Nuclaires

来源：

Communications in Theoretical Physics | 2010年 / 53卷 / 02期

关键词：

Klein-Gordon oscillator; minimal length; energy spectrum;

D O I：

暂无

中图分类号：

TN752 [振荡器];

学科分类号：

080904 ;

摘要：

Specific modifications of the usual canonical commutation relations between position and momentumoperators have been proposed in the literature in order to implement the idea of the existence of a minimal observablelength. Here, we study a consequence of this proposal in relativistic quantum mechanics by solving in the momentumspace representation the Klein-Gordon oscillator in arbitrary dimensions. The exact bound states spectrum and thecorresponding momentum space wave function are obtained. Following Chang et al. (Phys. Rev. D 65 (2002) 125027),we discuss constraint that can be placed on the minimal length by measuring the energy levels of an electron in a penningtrap.

引用

页码：231 / 236

页数：6

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