The Feynman integral of quadratic potentials depending on n time variables

DOI10.1017/S0027763000002920zbMath0655.28010OpenAlexW1587271200MaRDI QIDQ3801819

Chull Park, David Skoug

Publication date: 1988

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0027763000002920

zbMATH Keywords

Fresnel integralanalytic Feynman integralWiener space

Mathematics Subject Classification ID

Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20) Probability theory on linear topological spaces (60B11)

Related Items (7)

Functions in the Fresnel Class ⋮ Generalized Feynman integrals: The \({\mathcal L} (L_ 2,L_ 2)\) theory ⋮ Translation theorems for Fourier-Feynman transforms and conditional Fourier-Feynman transforms. ⋮ Yeh-Fourier-Feynman transforms and convolutions associated with Gaussian processes ⋮ Relationships among the first variation, the convolution product, and the Fourier-Feynman transform ⋮ A Note on Paley-Wiener-Zygmund Stochastic Integrals ⋮ Notes on analytic Feynman integrable functionals

Cites Work

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• Oscillatory integrals and the method of stationary phase in infinitely many dimensions, with applications to the classical limit of quantum mechanics. I
• Notes on the Feynman integral. I
• Notes on the Feynman integral. III: The Schrödinger equation
• Mathematical theory of Feynman path integrals
• Scale-invariant measurability in Wiener space
• A Banach algebra of Feynman integrable functionals with application to an integral equation formally equivalent to Schrödinger's equation
• The equivalence of two approaches to the Feynman integral
• Space-Time Approach to Non-Relativistic Quantum Mechanics
• An operator valued function space integral applied to multiple integrals of functions of class L₁

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