Path integral for relativistic oscillators: model of the Klein-Gordon particle in AdS space
نویسنده
چکیده
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 nonrelativistic limit, the bound states of the oneand three-dimensional ordinary oscillators are regained. PACS 03.65-Quantum theory, quantum mechanics.
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تاریخ انتشار 2002