Conditional Analytic Feynman Integrals on Abstract Wiener Spaces

DOI10.2307/2048743zbMath0726.28012OpenAlexW4238591775MaRDI QIDQ3348243

Dong Myung Chung

Publication date: 1991

Full work available at URL: https://doi.org/10.2307/2048743

zbMATH Keywords

Schrödinger equationabstract Wiener spaceconditional Wiener integralconditional analytic Feynman integralFresnel functions

Mathematics Subject Classification ID

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

Related Items (5)

The time-dependent quartic oscillator --- a Feynman path integral approach ⋮ Stationary phase method in infinite dimensions by finite dimensional approximations: Applications to the Schrödinger equation ⋮ Generalized Fresnel integrals ⋮ Feynman path integrals for polynomially growing potentials ⋮ Feynman path integrals for the inverse quartic oscillator

Cites Work

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• Operator-valued Feynman integrals via conditional Feynman integrals
• Analytic and sequential Feynman integrals on abstract Wiener and Hilbert spaces, and a Cameron-Martin formula
• Scale-invariant measurability in abstract Wiener spaces
• Notes on the Feynman integral. I
• Gaussian measures in Banach spaces
• Mathematical theory of Feynman path integrals
• Inversion of conditional Wiener integrals
• Evaluation formulas for conditional abstract wiener integrals
• Conditional Analytic Feynman Integrals and a Related Schrödinger Integral Equation
• The equivalence of two approaches to the Feynman integral

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