Representation formulas of the Cauchy problem for hyperbolic systems generalizing Dirac system

DOI10.1016/0022-1236(84)90045-4zbMath0562.35055OpenAlexW1994703426MaRDI QIDQ1056827

Bernard Gaveau

Publication date: 1984

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(84)90045-4

zbMATH Keywords

Poisson processDirac systemCauchy's problemprobabilistic formula

Mathematics Subject Classification ID

PDEs with randomness, stochastic partial differential equations (35R60) Partial differential equations of mathematical physics and other areas of application (35Q99) Initial value problems for first-order hyperbolic systems (35L45) Representations of solutions to partial differential equations (35C99)

Related Items (10)

Imaginary-time path integral for a relativistic spinless particle in an electromagnetic field ⋮ 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 ⋮ The nonexistence of the path-space measure for the Dirac equation in four space-time dimensions ⋮ Grassmann-valued processes for the Weyl and the Dirac equations ⋮ Probabilistic representation formulas for the time evolution of quantum systemsa) ⋮ The Z i t t e r b e w e g u n g of a Dirac particle in two-dimensional space-time ⋮ A projector path integral for the Dirac equation and the spin derivation of space ⋮ Feynman path integral for Dirac system with analytic potential

Cites Work

• Transformation canonique et renormalisation pour certaines équations d'évolution
• Intégrales oscillantes stochastiques: l'équation de Pauli
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