, Volume 8, Issue 8, pp 581-593

Path integration in phase space

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Abstract

We develop a method for defining and performing path integrals in phase space. This work generalizes to phase space the method formulated in recent years for path integration in configuration space. We give the relationship between the Wiener measure and the Liouville measure.

Dedicated to Achille Papapetrou on the occasion of his retirement.
This paper was written while the author was Visiting Professor in the Departments of Physics and Mathematics at the University of Texas.