Variational methods in relativistic quantum mechanics

DOI10.1090/S0273-0979-08-01212-3zbMath1288.49016arXiv0706.3309OpenAlexW2159104017MaRDI QIDQ3528012

Mathieu Lewin, Maria J. Esteban, Éric Séré

Publication date: 2 October 2008

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0706.3309

zbMATH Keywords

Dirac operatorvariational methodsground statecritical pointsstrongly indefinite functionalsnonlinear eigenvalue problemsquantum electrodynamicsquantum chemistryrelativistic quantum mechanicsnonrelativistic limitmean-field approximationHartree-Fock equationsDirac-Fock equationsBogoliubov-Dirac-Fock method

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Nonlinear elliptic equations (35J60) Atomic physics (81V45) Many-body theory; quantum Hall effect (81V70) PDEs in connection with relativity and gravitational theory (35Q75) Molecular physics (81V55) Variational principles of physics (49S05)

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