A new aspect of the analytic Fourier-Feynman transform and its applications

作者：Chang Seung Jun; Chung Hyun Soo^*

来源：Integral Transforms and Special Functions, 2015, 26(1): 65-77.

DOI：10.1080/10652469.2014.975128

• 35Q40
• 81Q30
• 28C20
• 60J65
• Schrodinger equation
• diffusion equation
• translation theorem
• modified analytic function space Fourier-Feynman transform
• Feynman-Kac formula
• generalized Brownian motion process

In this paper we define a modified analytic function space Fourier-Feynman transform to explain some physical phenomenon. We then establish various relationships involving the modified analytic function space Fourier-Feynman transform with related topics. Finally, we apply the translation theorem to obtain various relationships involving the modified analytic function space Fourier-Feynman transform. Our approach is a new and interesting method to explain some physical phenomenon.

• 出版日期2015-1-2