P. Müller   ▪   Publications   ▪   Tutzing

Authors

Werner Fischer, Hajo Leschke and Peter Müller

Title

Path integration in quantum mechanics by changing drift and time of the underlying diffusion process

Abstract

The rigorous formulations of the important ideas of Peak/Inomata and Duru/Kleinert for solving certain non-Gaussian path integrals occurring in quantum mechanics are shown to provide both clarity and simplicity. Special emphasis is given to the fact that many of the standard examples considered in this context require the use of path integrals with respect to diffusion processes other than the Wiener process, e.g. Bessel and Legendre processes.

Appeared in

Path Integrals from meV to MeV: Tutzing '92, edited by H. Grabert, A. Inomata, L. Schulman, U. Weiss (World Scientific, Singapore 1993), pp. 259-267.