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arXiv 0912.3041math.FAmath-phmath.MP
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费曼运算的一个积分方程

An Integral Equation for Feynman's Operational Calcului

Lance Nielsen

摘要:

本文在B. Jefferies和G. W.约翰逊特别是一个“减少”的解缠推导和DeFacio,约翰逊和Lapidus的发展方程被用来获得积分方程。在给出积分方程后,我们证明了热方程和薛定谔方程的解可以由约化的解和它的积分方程得到。我们也使杰弗里斯和约翰逊之间的业务演算和分析费曼积分的发展。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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