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

作　　者：Y.Chargui L.Chetouani A.Trabelsi 

机构地区：[1]Unit de Recherche de Physique Nuclaire et des Hautes Energies, Facult des Sciences de Tunis [2]Dpartement de Physique Thorique, 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 Nuclaires

出　　处：《Communications in Theoretical Physics》2010年第2期231-236,共6页理论物理通讯（英文版）

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.

关 键 词：Klein-Gordon oscillator minimal length energy spectrum 

分 类 号：TN752[电子电信—电路与系统]