An Integral Equation for Feynman's Operational Calcului
Functional Analysis
2009-12-17 v1 Mathematical Physics
math.MP
Abstract
In this paper we develop an integral equation satisfied by Feynman's operational calculi in formalism of B. Jefferies and G. W. Johnson. In particular a "reduced" disentangling is derived and an evolution equation of DeFacio, Johnson, and Lapidus is used to obtain the integral equation. After the integral equation is presented, we show that solutions to the heat and Schrodinger's equation can be obtained from the reduced disentangling and its integral equation. We also make connections between the Jefferies and Johnson development of the operational calculi and the analytic Feynman integral.
Cite
@article{arxiv.0912.3041,
title = {An Integral Equation for Feynman's Operational Calcului},
author = {Lance Nielsen},
journal= {arXiv preprint arXiv:0912.3041},
year = {2009}
}
Comments
17 pages