* Product Representation of Path Integrals

Sharan, Pankaj

doi:10.1103/PhysRevD.20.414

* Product Representation of Path Integrals

Pankaj Sharan
(
- Allahabad U.
)

Jan, 1979

13 pages

Published in:

Phys.Rev.D 20 (1979) 414

DOI:

10.1103/PhysRevD.20.414

Report number:

Print-79-0058 (ALLAHABAD)

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Abstract: (APS)

It is shown that Feynman's path integral can be written as a Fourier transform of a function defined on the classical phase space with the help of the star product recently introduced by Bayen, Flato, Fronsdal, Lichnerowicz, and Sternheimer. This gives a well-defined meaning to path integrals and may prove to be a useful tool in their actual evaluation.

FIELD THEORY: PATH INTEGRAL
FUNCTIONAL ANALYSIS: linear space
MODEL: OSCILLATOR

References(5)

Figures(0)

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)

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,
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,
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(
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)

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•
DOI:
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(
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