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Path integrals over the group manifolds
Authors:I. H. Duru
Affiliation:(1) Mathematics Department, University of Trakya, Edirne, Turkey;(2) Tubitak, Marmara Research Center, P.K.21, 41470 Gebze, Turkey
Abstract:Particle motion in the SU(2) manifold is quantized by path integrals. It is shown that the Poschl-Teller, Wood-Saxon, and Rosen-Morse potentials are solved by relating their propagators to the path integrations over the SU(2) manifold. Examples with some other groups are mentioned.
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