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.

arXiv comment4 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