GENERALIZED ANALYTIC FEYNMAN INTEGRALS INVOLVING GENERALIZED ANALYTIC FOURIER{FEYNMAN TRANSFORMS AND GENERALIZED INTEGRAL TRANSFORMS

• 발행기관: 충청수학회
• 저자명: Seung Jun Chang Hyun Soo Chung
• 간행물 정보: 『Journal of the Chungcheong Mathematical Society』Volume 21, No. 2, 231~246쪽, 전체 16쪽
• 주제분류: 자연과학 > 자연과학일반
• 파일형태: PDF
• 발행일자: 2008.06.30

영문 초록

In this paper, we use a generalized Brownian motion process to de¯ne a generalized analytic Feynman integral. We then establish several integration formulas for generalized analytic Feynman integrals, generalized analytic Fourier-Feynman transforms and generalized integral transforms of functionals in the class of functionals E0. Finally, we use these integration formulas to obtain several generalized Feynman integrals involving the gen-eralized analytic Fourier-Feynman transform and the generalized integral transform of functionals in E0.

목차

1. Introduction

2. De¯nitions and preliminaries

3. Generalized Feynman integrals, L1 analytic GFFTs and gener-alized integral transforms of functionals in E0

4. Generalized analytic Feynman integrals involving generalized integral transforms and L1 analytic GFFTs of functionals in E0

References