The Feynman Integral

DOI10.2307/2319736zbMath0304.35002OpenAlexW4230764335MaRDI QIDQ4059815

Joseph B. Keller, David W. McLaughlin

Publication date: 1975

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2319736

Mathematics Subject Classification ID

Heat equation (35K05) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Initial value problems for second-order parabolic equations (35K15)

Related Items (19)

Diffraction in the semiclassical approximation to Feynman's path integral representation of the Green function ⋮ Generalization of the Bremmer coupling series ⋮ On the convergence of the Feynman path integral for a certain class of potentials ⋮ Path integrals for boundaries and topological constraints: A white noise functional approach ⋮ Tempered wave functions: Schrödinger's equation within the light cone ⋮ Product structure of heat phase space and branching Brownian motion. ⋮ Feynman integrals with absorbing boundaries ⋮ WHITE NOISE ANALYSIS: SOME APPLICATIONS IN COMPLEX SYSTEMS, BIOPHYSICS AND QUANTUM MECHANICS ⋮ A random walk model for the Schrödinger equation ⋮ Derivation and application of extended parabolic wave theories. II. Path integral representations ⋮ Semigroup-theoretic proofs of the central limit theorem and other theorems of analysis ⋮ Path integral representation for the solution of a stochastic Schrodinger equation driven by a semimartingale ⋮ Time-evolution methods for matrix-product states ⋮ Fundamental solution of partial differential operator of Schrödinger's type. III ⋮ A construction of the fundamental solution for the Schrödinger equation ⋮ A free particle on a circle with point interaction ⋮ Jump-type processes and their applications in quantum mechanics ⋮ Benford’s Law for Mixtures ⋮ A nonstandard infinite dimensional vector space approach to Gaussian functional measures

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