## Constructing measures for path integrals

Publication
, Journal Article

Daubechies, I; Klauder, JR

Published in: Journal of Mathematical Physics

January 1, 1981

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.

### Duke Scholars

## Published In

Journal of Mathematical Physics

## DOI

## ISSN

0022-2488

## Publication Date

January 1, 1981

## Volume

23

## Issue

10

## Start / End Page

1806 / 1822

## Related Subject Headings

- Mathematical Physics
- 51 Physical sciences
- 49 Mathematical sciences
- 02 Physical Sciences
- 01 Mathematical Sciences

### Citation

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Chicago

ICMJE

MLA

NLM

Daubechies, I., & Klauder, J. R. (1981). Constructing measures for path integrals.

*Journal of Mathematical Physics*,*23*(10), 1806–1822. https://doi.org/10.1063/1.525234Daubechies, I., and J. R. Klauder. “Constructing measures for path integrals.”

*Journal of Mathematical Physics*23, no. 10 (January 1, 1981): 1806–22. https://doi.org/10.1063/1.525234.Daubechies I, Klauder JR. Constructing measures for path integrals. Journal of Mathematical Physics. 1981 Jan 1;23(10):1806–22.

Daubechies, I., and J. R. Klauder. “Constructing measures for path integrals.”

*Journal of Mathematical Physics*, vol. 23, no. 10, Jan. 1981, pp. 1806–22.*Scopus*, doi:10.1063/1.525234.Daubechies I, Klauder JR. Constructing measures for path integrals. Journal of Mathematical Physics. 1981 Jan 1;23(10):1806–1822.

## Published In

Journal of Mathematical Physics

## DOI

## ISSN

0022-2488

## Publication Date

January 1, 1981

## Volume

23

## Issue

10

## Start / End Page

1806 / 1822

## Related Subject Headings

- Mathematical Physics
- 51 Physical sciences
- 49 Mathematical sciences
- 02 Physical Sciences
- 01 Mathematical Sciences