Path Integrals with Arbitrary Generators and the Eigenfunction Problem

Authors

William B. Campbell, University of Nebraska-LincolnFollow
Paul Finkler, University of Nebraska-LincolnFollow
C. E. Jones, University of Nebraska-Lincoln
M. N. Misheloff, University of Nebraska-Lincoln

Date of this Version

6-6-1975

Document Type

Article

Citation

ANNALS OF PHYSICS 96, 286-302 (1976)

Comments

Copyright 1976 by Academic Press, Inc.

Abstract

We generalize the path integral formalism of quantum mechanics to include the use of arbitrary infinitesimal generators, thus providing explicit expressions for solutions of a wide class of differential equations. In particular, we develop a method of calculating the eigenfunctions of a large class of operators.