Existence of infinitely many distinct solutions to the quasirelativistic Hartree-Fock equations

DOI10.1155/2009/651871zbMath1181.35288OpenAlexW2020421103WikidataQ58648491 ScholiaQ58648491MaRDI QIDQ1035170

Michael Melgaard, Mattias Enstedt

Publication date: 10 November 2009

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/45734

zbMATH Keywords

density operator\(N\)-electron Coulomb systemcritical point approach

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) PDEs in connection with relativity and gravitational theory (35Q75) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Continuum models (systems of particles, etc.) arising in equilibrium statistical mechanics (82B21) Semilinear elliptic equations (35J61)

Related Items (5)

Comment on `Solutions to quasi-relativistic multi-configurative Hartree-Fock equations in quantum chemistry', by C. Argaez and M. Melgaard ⋮ Stiefel and Grassmann manifolds in quantum chemistry ⋮ Abstract criteria for multiple solutions to nonlinear coupled equations involving magnetic Schrödinger operators ⋮ Solutions to quasi-relativistic multi-configurative Hartree-Fock equations in quantum chemistry ⋮ Unique solutions to Hartree-Fock equations for closed shell atoms

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