scientific article; zbMATH DE number 3639939

zbMath0412.28009MaRDI QIDQ4200435

Aubrey Truman

Publication date: 1979

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

time-dependent Schrödinger equationFeynman path integralpath-spaceFourier transforms of measures of bounded variationanharmonic oscillator potentialsCameron-Martin type formulaeFeynman integrable functionsFeynman mapFeynman-Green's functionFeynman-Ito formulaenon- relativistic quantum mechanicspolygonal path formulation

Mathematics Subject Classification ID

Path integrals in quantum mechanics (81S40) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20)

Related Items (12)

New framework for the Feynman path integral ⋮ Perturbations of Schrödinger semigroups generated by stochastic integrals ⋮ The time-dependent quartic oscillator --- a Feynman path integral approach ⋮ A mathematical theory of the phase space Feynman path integral of the functional ⋮ Path integrals as analysis on path space by time slicing approximation ⋮ Notes on the Feynman integral. II ⋮ Uniform product formulae with application to the Feynman-Nelson integral for open systems ⋮ Analytic Feynman integral solutions of an integral equation related to the Schrödinger equation ⋮ Polygonal-path approximations on the path spaces of quantum-mechanical systems ⋮ Generalized Feynman path integrals and applications to higher-order heat-type equations ⋮ Unnamed Item ⋮ The method of stationary phase for oscillatory integrals on Hilbert spaces

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