The nonexistence of the path-space measure for the Dirac equation in four space-time dimensions

DOI10.1063/1.528316zbMath0689.70010OpenAlexW1980053856MaRDI QIDQ3031972

Zastawniak, Tomasz

Publication date: 1989

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.528316

zbMATH Keywords

Dirac equationMarkovian stochastic processpath-space measurefirst derivative of the initial conditionfour space-time dimensionsfree relativistic particle in two space-time dimensions

Mathematics Subject Classification ID

Special relativity (83A05) Relativistic dynamics for problems in Hamiltonian and Lagrangian mechanics (70H40)

Related Items (5)

The propagator of the radial Dirac equation ⋮ Rotational diffusions as seen by relativistic observers ⋮ Path space measure for the 3+1-dimensional Dirac equation in momentum space ⋮ Some remarks on the Feynman–Kac formula ⋮ Feynman path integral for Dirac system with analytic potential

Cites Work

• Representation formulas of the Cauchy problem for hyperbolic systems generalizing Dirac system
• Feynman path integral for the Dirac equation
• Spinor chain path integral for the Dirac equation
• The Z i t t e r b e w e g u n g of a Dirac particle in two-dimensional space-time
• Mathematical Formulation of the Quantum Theory of Electromagnetic Interaction

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