Existence of global-in-time solutions to a generalized Dirac-Fock type evolution equation

DOI10.1007/s11005-005-4377-9zbMath1115.81026arXivmath-ph/0412018OpenAlexW2034614558MaRDI QIDQ2571652

Christian Hainzl, Mathieu Lewin, Christof Sparber

Publication date: 14 November 2005

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

Full work available at URL: https://arxiv.org/abs/math-ph/0412018

zbMATH Keywords

Dirac equationQEDvacuum polarizationHartree-Fock modelsemilinear evolution equations.

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Electromagnetic interaction; quantum electrodynamics (81V10) PDEs in connection with quantum mechanics (35Q40) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

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The Dirac-Klein-Gordon system in the strong coupling limit ⋮ On blowup for time-dependent generalized Hartree-Fock equations ⋮ Variational methods in relativistic quantum mechanics ⋮ The Hartree equation for infinitely many particles. I: Well-posedness theory ⋮ Minimizers for the Hartree-Fock-Bogoliubov theory of neutron stars and white dwarfs ⋮ A NONLINEAR MODEL FOR RELATIVISTIC ELECTRONS AT POSITIVE TEMPERATURE ⋮ Semi-classical Dirac vacuum polarisation in a scalar field

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