Document Type
Article
Rights
This item is available under a Creative Commons License for non-commercial use only
Disciplines
1.1 MATHEMATICS
Abstract
We establish existence of infinitely many distinct solutions to the multi-configurative Hartree-Fock type equations for N-electron Coulomb systems with quasi-relativistic kinetic energy for the n th electron. Finitely many of the solutions are interpreted as excited states of the molecule. Moreover, we prove existence of a ground state. The results are valid under the hypotheses that the total charge Z of K nuclei is greater than N-1 and that Z is smaller than a critical charge. The proofs are based on a new application of the Lions-Fang-Ghoussoub critical point approach to nonminimal solutions on a complete analytic Hilbert-Riemann manifold.
DOI
https://doi.org/10.1016/j.na.2011.08.038
Recommended Citation
Argaez, C., & Melgaard, M. (2012). Solutions to quasi-relativistic multi-configurative Hartree-Fock equations in quantum chemistry. Nonlinear Analysis: Theory, Methods & Applications, vol. 75, no.1. doi:10.1016/j.na.2011.08.038
Funder
SFI Stokes Award, SFI RFP grant
