C. Grosche et al., PATH-INTEGRAL DISCUSSION FOR SMORODINSKY-WINTERNITZ POTENTIALS .1. 2-DIMENSIONAL AND 3-DIMENSIONAL EUCLIDEAN-SPACE, Fortschritte der Physik, 43(6), 1995, pp. 453-521
Path integral formulations for the Smorodinsky-Winternitz potentials i
n two- and three-dimensional Euclidean space are presented. We mention
all coordinate systems which separate the Smorodinsky-Winternitz pote
ntials and state the corresponding path integral formulations. Whereas
in many coordinate systems an explicit path integral formulation is n
ot possible, we list in all soluble cases the path integral evaluation
s explicitly in terms of the propagators and the spectral expansions i
nto the wave-functions.