Path integral for relativistic oscillators: model of the Klein-Gordon particle in AdS space
Quantum Physics
2009-11-07 v2
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.
Keywords
Cite
@article{arxiv.quant-ph/0210101,
title = {Path integral for relativistic oscillators: model of the Klein-Gordon particle in AdS space},
author = {M. T. Chefrour and F. Benamira and L. Guechi},
journal= {arXiv preprint arXiv:quant-ph/0210101},
year = {2009}
}
Comments
23 pages, no figures. Accepted for publication in Eur.Phys.J.C