MPEJ Volume 13, No. 1, 29 pp.
Received: Jul 24, 2006. Revised: Oct 12, 2006. Accepted: Mar 28, 2007.
G.Bouch and P.L.Bowers
Evaluating Feynman Path Integrals via the Polynomial Path Family
ABSTRACT: We present a difficult and detailed calculation of propagators for
quadratic potentials using a filtration of the space of variational paths
around the classical path by the dense set of polynomial paths filtered by
degree. This presents evidence for a cohesive explanation of path integrals as
limits of finite-dimensional integrations using a sequence of filtration
measures determined for specific dense families of paths by the requirement
that the limit yield the free particle propagator.
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