Some Formulas for the Generalized Analytic Feynman Integrals on the Weiner Space

被引：0

作者：

Chung H.S. ^{[1
]}

Skoug D. ^{[2
]}

Chang S.J. ^{[1
]}

机构：

[1] Dankook University, Cheonan

[2] University of Nebraska-Lincoln, Lincoln

来源：

Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences) | 2019年 / 54卷 / 1期

关键词：

(non)harmonic oscillator; 28C20; 60J65; Cameron-Storvick theorem; diffusion equation; Feynman-Kac formula; Schrödinger equation;

D O I：

10.3103/S1068362319010023

中图分类号：

学科分类号：

摘要：

In this paper, we define a new concept of analytic Feynman integral on theWiener space, which is called the generalized analytic Feynman integral, to explain various physical circumstances. Furthermore, we evaluate the generalized analytic Feynman integrals for several important classes of functionals.We also establish various properties of these generalized analytic Feynman integrals. We conclude the paper by giving several applications involving the Cameron-Storvick theorem and quantum mechanics. © 2019, Allerton Press, Inc.

引用

页码：8 / 19

页数：11

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