Exact Solution of D-Dimensional Klein-Gordon Oscillator with Minimal Length |
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Authors: | Y Chargui L Chetouani A Trabelsi |
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Institution: | 1.Unité de Recherche de Physique Nucléaire et des Hautes Energies, Faculté des Sciences de Tunis, 1080 Tunis, Tunisia
;2.Département de Physique Théorique, Institut de Physique, Université de Constantine, Route Ain El Bey, Constantine, Algeria
;3.Centre National des Sciences et Technologies Nucléaires, Technopole de Sidi-Thabet 2020, Tunisia |
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Abstract: | 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 thecorresponding momentum space wave function are obtained. FollowingChang 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 anelectron in a penning trap. |
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Keywords: | Klein-Gordon oscillator minimal length energy spectrum |
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