Path space measures for Dirac and Schrödinger equations: Nonstandard analytical approach

DOI10.1063/1.532083zbMath0892.46082OpenAlexW1998804472MaRDI QIDQ4351633

Toru Nakamura

Publication date: 20 July 1998

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

Full work available at URL: https://doi.org/10.1063/1.532083

zbMATH Keywords

path integralDirac equationnonstandard analysis

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Path integrals in quantum mechanics (81S40) Applications of functional analysis in quantum physics (46N50)

Related Items (2)

Pointwise analysis of scalar fields: A nonstandard approach ⋮ Path space measure for the 3+1-dimensional Dirac equation in momentum space

Cites Work

• A construction of the fundamental solution for the Schrödinger equation
• Path integral for the Dirac equation in two 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.
• Feynman Integrals and the Schrödinger Equation
• Space-Time Approach to Non-Relativistic Quantum Mechanics

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