Solutions of the Dirac-Fock equations and the energy of the electron-positron field

DOI10.1007/s00205-006-0016-6zbMath1113.81132OpenAlexW1988236181MaRDI QIDQ878038

Matthias Huber, Heinz Siedentop

Publication date: 26 April 2007

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00205-006-0016-6

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) PDEs in connection with quantum mechanics (35Q40) Atomic physics (81V45)

Related Items (5)

A rigorous justification of the Mittleman's approach to the Dirac-Fock model ⋮ A new definition of the Dirac-Fock ground state ⋮ Variational methods in relativistic quantum mechanics ⋮ Unique solutions to Hartree-Fock equations for closed shell atoms ⋮ The Scott correction in Dirac-Fock theory

Cites Work

• Unnamed Item
• A minimax principle for eigenvalues in spectral gaps: Dirac operators with Coulomb potentials.
• On the stability of the relativistic electron-positron field
• Some connections between Dirac-Fock and electron-positron Hartree-Fock
• Solutions of the Dirac-Fock equations for atoms and molecules
• On the Hartree-Fock equations of the electron-positron field
• Remarks on the Mittleman max–min variational method for the electron-positron field
• A Minimax Principle for the Eigenvalues in Spectral Gaps
• Solutions of the Dirac-Fock equations without projector.
• Nonrelativistic limit of the Dirac-Fock equations

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