Path integral for the Dirac equation in two space-time dimensions

DOI10.3792/pjaa.58.290zbMath0518.28011OpenAlexW1992502931MaRDI QIDQ1053820

Takashi Ichinose

Publication date: 1982

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.58.290

zbMATH Keywords

Feynman path integralCauchy problem for the Dirac equation in two space-time dimensionscountably additive path space measure

Mathematics Subject Classification ID

Path integrals in quantum mechanics (81S40) Applications of manifolds of mappings to the sciences (58D30) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20)

Related Items

Path integral formulation of the propagator for a two-dimensional Dirac particle, A process associated with the radially symmetric Dirac equation, The propagator of the radial Dirac equation, Renormalization of Coulomb interactions for the 1D Dirac equation, Brownian motion at the speed of light: a new Lorentz invariant family of processes, Propagation of a Dirac particle. A path integral approach, Path space measures for Dirac and Schrödinger equations: Nonstandard analytical approach, Path space measure for the 3+1-dimensional Dirac equation in momentum space, On the Feynman path integral for the Dirac equation in the general dimensional spacetime, Path integral for the radial Dirac equation, An Operator Bound Related to Feynman-Kac Formulae, The Z i t t e r b e w e g u n g of a Dirac particle in two-dimensional space-time, Path integral for a hyperbolic system of the first order

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