57 research outputs found
Path integral for relativistic oscillators: model of the Klein-Gordon particle in AdS space
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.Comment: 23 pages, no figures. Accepted for publication in Eur.Phys.J.
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