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.
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Received: 29 June 2002 / Revised version: 3 February 2003 / Published online: 24 March 2003
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Chefrour, M., Benamira, F. & Guechi, L. Path integral for relativistic oscillators: model of the Klein-Gordon particle in AdS space. Eur. Phys. J. C 28, 395–403 (2003). https://doi.org/10.1140/epjc/s2003-01164-x
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DOI: https://doi.org/10.1140/epjc/s2003-01164-x