Path integral for some systems of partial differential equations

DOI10.3792/PJAA.60.86zbMath0555.28010OpenAlexW2052771940MaRDI QIDQ760521

Hiroshi Watanabe

Publication date: 1984

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.60.86

zbMATH Keywords

systems of partial differential equationsFeynman path integral

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 (4)

Feynman-Kac formula associated with a system of partial differential operators ⋮ Maslov-Poisson measure and Feynman formulas for the solution of the Dirac equation ⋮ Feynman's formula in a phase space for a certain class of systems of pseudodifferential equations ⋮ A functional integral with respect to a countably additive measure representing a solution of the Dirac equation

Cites Work

• A construction of the fundamental solution for the Schrödinger equation
• Mathematical theory of Feynman path integrals
• A construction of the fundamental solution for the relativistic wave equation. I

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