Path space measure for the 3+1-dimensional Dirac equation in momentum space

DOI10.1063/1.533402zbMath1046.81073OpenAlexW2091531925MaRDI QIDQ2738106

Toru Nakamura

Publication date: 30 August 2001

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

Full work available at URL: https://doi.org/10.1063/1.533402

zbMATH Keywords

momentum spaceNonstandard analysis

Mathematics Subject Classification ID

Path integrals in quantum mechanics (81S40)

Related Items (1)

Coarse-grained spin density-functional theory: Infinite-volume limit via the hyperfinite

Cites Work

• A construction of the fundamental solution for the Schrödinger equation
• Path integral for the Dirac equation in two space-time dimensions
• Representation formulas of the Cauchy problem for hyperbolic systems generalizing Dirac system
• Feynman-Kac formula associated with a system of partial differential operators
• The nonexistence of the path-space measure for the Dirac equation in four space-time dimensions
• A Family of Integrals Serving to Connect the Wiener and Feynman Integrals
• A nonstandard representation of Feynman’s path integrals
• Loeb completion of internal vector-valued measures.
• Path space measures for Dirac and Schrödinger equations: Nonstandard analytical approach
• Space-Time Approach to Non-Relativistic Quantum Mechanics

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