Fundamental solutions of the equations of quantum mechanics as distributions and distinctive properties of the Dirac equation solutions

DOI10.1007/s11232-007-0053-9zbMath1138.81377OpenAlexW2012220927MaRDI QIDQ926739

A. A. Beilinson

Publication date: 20 May 2008

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11232-007-0053-9

zbMATH Keywords

Wiener measureinduced measureabsolute additivity of measurescausal Green's functiondenumerable additivity of measuresEuclidean Dirac measure

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Relativistic dynamics for problems in Hamiltonian and Lagrangian mechanics (70H40) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20)

Cites Work

• Structure of the fundamental solution of the Dirac equation
• Quantum field theory techniques in graphical enumeration
• Space-Time Approach to Non-Relativistic Quantum Mechanics
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