Path Integral on Relativistic Spinless Potential Problems

Abstract

The formulation of the relativistic spinless path integral on the general affine space is presented. For the one dimensional space, the Duru-Kleinert (DK) method and the $\delta$-function perturbation technique are applied to solve the relativistic path integrals of the smooth potential and the Dirichlet boundary condition problems, respectively.

4 pages, LaTeX file uses sprocl.sty, Talk given at the sixth International Conference on Path-Integrals from peV to TeV 50 Years from Feynman's Paper, Florence, Italy, 25-29 August 1998, to appear in the Proceedings