Dirac equation with external potential and initial data on Cauchy surfaces

DOI10.1063/1.4902376zbMath1303.81075arXiv1404.1401OpenAlexW3104508106MaRDI QIDQ2939226

Franz Merkl, Dirk-André Deckert

Publication date: 19 January 2015

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

Full work available at URL: https://arxiv.org/abs/1404.1401

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Research exposition (monographs, survey articles) pertaining to quantum theory (81-02) PDEs in connection with quantum mechanics (35Q40) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Initial value problems for first-order hyperbolic equations (35L03)

Related Items (5)

External field QED on Cauchy surfaces for varying electromagnetic fields ⋮ Consistency of multi-time Dirac equations with general interaction potentials ⋮ On the mathematical foundations of causal fermion systems in Minkowski space ⋮ Consistency proof for multi-time Schrödinger equations with particle creation and ultraviolet cut-off ⋮ Multi-time dynamics of the Dirac-Fock-Podolsky model of QED

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