Constructing measures for path integrals

Journal Article (Journal Article)

The overcompleteness of the coherent states for the Heisenberg-Weyl group implies that many different integral kernels can be used to represent the same operator. Within such an equivalence class we construct an integral kernel to represent the quantum-mechanical evolution operator for certain dynamical systems in the form of a path integral that involves genuine (Wiener) measures on continuous phase-space paths. To achieve this goal it is necessary to employ an expression for the classical action different from the usual one. © 1982 American Institute of Physics.

Full Text

Duke Authors

Cited Authors

  • Daubechies, I; Klauder, JR

Published Date

  • January 1, 1981

Published In

Volume / Issue

  • 23 / 10

Start / End Page

  • 1806 - 1822

International Standard Serial Number (ISSN)

  • 0022-2488

Digital Object Identifier (DOI)

  • 10.1063/1.525234

Citation Source

  • Scopus