Hartree-Fock theory for pseudorelativistic atoms

Abstract

We study the Hartree-Fock model for pseudorelativistic atoms, that is, atoms where the kinetic energy of the electrons is given by the pseudorelativistic operator \sqrt{(pc)^2+(mc^2)^2}-mc^2. We prove the existence of a Hartree-Fock minimizer, and prove regularity away from the nucleus and pointwise exponential decay of the corresponding orbitals.

References in corpus (1)

• On the convergence of eigenfunctions to threshold energy states

Cited by in corpus (8)

• Minimizers for the Hartree-Fock-Bogoliubov Theory of Neutron Stars and White Dwarfs
• Sharp heat kernel estimates for relativistic stable processes in open sets
• Unique Solutions to Hartree-Fock Equations for Closed Shell Atoms
• On fractional Schrödinger equations with Hartree type nonlinearities
• Infinitely many free or prescribed mass solutions for fractional Hartree equations and Pohozaev identities
• Asymptotic decay of solutions for sublinear fractional Choquard equations
• Semirelativistic Choquard equations with singular potentials and general nonlinearities arising from Hartree-Fock theory
• Ground states for pseudo-relativistic Hartree equations of critical type