Analytic Feynman integral solutions of an integral equation related to the Schrödinger equation

DOI10.1007/BF03033877zbMath0487.45008MaRDI QIDQ1165423

D. A. Storvick, R. H. Cameron

Publication date: 1980

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

zbMATH Keywords

Schrödinger equationWiener integralanalytic Feynman integralFourier-Stieltjes transforms

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Feynman integrals and graphs; applications of algebraic topology and algebraic geometry (81Q30) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20)

Related Items

Analytic Feynman integrals of functionals in a Banach algebra involving the first variation, Analogues of conditional Wiener integrals and their change of scale transformations on a function space, Generalized Fourier-Feynman transforms and generalized convolution products on Wiener space, Propagators for relativistic systems with non-Abelian interactions, A modified analytic function space Feynman integral and its applications, Some formulas for the generalized analytic Feynman integrals on the Wiener space, A modified analytic function space Feynman integral of functionals on function space, CONDITIONAL FEYNMAN INTEGRAL AND SCHRÖDINGER INTEGRAL EQUATION ON A FUNCTION SPACE, The equivalence of two approaches to the Feynman integral

Cites Work

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• Mathematical theory of Feynman path integrals
• The Ilstow and Feynman integrals
• A Banach algebra of Feynman integrable functionals with application to an integral equation formally equivalent to Schrödinger's equation
• An unsymmetric Fubini theorem