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Path integral for relativistic oscillators: model of the Klein-Gordon particle in AdS space | | M. T. Chefrour
; F. Benamira
; L. Guechi
; | | Date: |
13 Oct 2002 | | Journal: | Eur.Phys.J.C 28 (2003) 3, 395-403 | | Subject: | quant-ph | | 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. | | Source: | arXiv, quant-ph/0210101 | | Services: | Forum | Review | PDF | Favorites | |
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