Some formulas for the generalized analytic Feynman integrals on the Wiener space

DOI10.3103/S1068362319010023zbMath1428.28021OpenAlexW2990119065MaRDI QIDQ2008088

Seung Jun Chang, David Skoug, Hyun Soo Chung

Publication date: 22 November 2019

Published in: Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1068362319010023

zbMATH Keywords

diffusion equationSchrödinger equationFeynman-Kac formulaCameron-Storvick theorem(non)harmonic oscillator

Mathematics Subject Classification ID

Brownian motion (60J65) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20)

Cites Work

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• The time-dependent quartic oscillator --- a Feynman path integral approach
• The Feynman integral of quadratic potentials depending on two time variables
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• Scale-invariant measurability in Wiener space
• Feynman path integrals for polynomially growing potentials
• FOURIER-TYPE FUNCTIONALS ON WIENER SPACE
• A sequential analytic Feynman integral of functionals inL₂(C₀[0, T)]
• AN APPROACH TO SOLUTION OF THE SCHRÖDINGER EQUATION USING FOURIER-TYPE FUNCTIONALS
• Space-Time Approach to Non-Relativistic Quantum Mechanics
• On Distributions of Certain Wiener Functionals
• Convolution products, integral transforms and inverse integral transforms of functionals inL₂(C₀[0,T)]

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