Solutions of the multiconfiguration Dirac–Fock equations

DOI10.1142/S0129055X14500147zbMath1300.35113arXiv1305.3739MaRDI QIDQ2920919

Antoine Levitt

Publication date: 29 September 2014

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

Full work available at URL: https://arxiv.org/abs/1305.3739

zbMATH Keywords

variational methodsrelativistic quantum mechanicsmulticonfiguration

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Variational methods applied to PDEs (35A15) PDEs in connection with quantum mechanics (35Q40) Many-body theory; quantum Hall effect (81V70) Molecular physics (81V55) Variational principles of physics (49S05)

Related Items (1)

Generally covariant \(N\)-particle dynamics

Cites Work

• Setting and analysis of the multi-configuration time-dependent Hartree-Fock equations
• Spectral theory of the operator \((p^2+m^2)^{1/2}-Ze^2/r\)
• The multiconfiguration equations for atoms and molecules: charge quantization and existence of solutions
• Solutions of the Dirac-Fock equations for atoms and molecules
• Solutions of Hartree-Fock equations for Coulomb systems
• Solutions of the multiconfiguration equations in quantum chemistry
• Strict Positivity of a Relativistic Hamiltonian Due to Brown and Ravenhall
• On the infinitude of non–zero eigenvalues of the single–electron density matrix for atoms and molecules
• Normalized Solutions to Strongly Indefinite Semilinear Equations
• Nonrelativistic limit of the Dirac-Fock equations

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