Path integral for relativistic oscillators: model of the Klein-Gordon particle in AdS space |
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| Authors: | MT Chefrour F Benamira L Guechi |
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| Institution: | (1) Département de Physique, Faculté des Sciences, Université Badji Mokhtar, Annaba, Algeria , DZ;(2) Laboratoire de Physique Théorique, Département de Physique, Faculté des Sciences, Université Mentouri, Route d'Ain El Bey, Constantine, Algeria , DZ |
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| Abstract: | Explicit path integration is carried out for the Green's functions of special relativistic harmonic oscillators in (1+1)-
and (3+1)-dimensional Minkowski space-time modeled by a Klein-Gordon particle in the universal covering space-time of the
anti-de Sitter static space-time. The energy spectrum together with the normalized wave functions are obtained. In the non-relativistic
limit, the bound states of the one- and three-dimensional ordinary oscillators are regained.
Received: 29 June 2002 / Revised version: 3 February 2003 / Published online: 24 March 2003 |
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