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

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 mecha...

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Bibliographic Details
Published in:Communications in theoretical physics 2010-02, Vol.53 (2), p.231-236
Main Authors: Chargui, Y, Chetouani, L, Trabelsi, A
Format: Article
Language:English
Subjects:
Klein
动量空间
振荡器
最小长度
相对论量子力学
精确解
能量水平
长度测量
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Summary: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. 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 penning trap.
ISSN:0253-6102
DOI:10.1088/0253-6102/53/2/05