The magnetic Scott correction for relativistic matter at criticality

DOI10.1063/5.0007903zbMath1452.81171arXiv2003.06573OpenAlexW3103092428MaRDI QIDQ5136154

Gonzalo A. Bley, Søren Fournais

Publication date: 25 November 2020

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

Full work available at URL: https://arxiv.org/abs/2003.06573

Mathematics Subject Classification ID

Asymptotic distributions of eigenvalues in context of PDEs (35P20) Perturbation theories for operators and differential equations in quantum theory (81Q15) Covariant wave equations in quantum theory, relativistic quantum mechanics (81R20) Molecular physics (81V55) Electro- and magnetostatics (78A30)

Cites Work

• On the leading correction of the Thomas-Fermi model: Lower bound
• An atomic energy lower bound that agrees with Scott's correction
• The Scott correction in Dirac-Fock theory
• A proof of Scott's conjecture for ions
• The energy of heavy atoms according to Brown and Ravenhall: the Scott correction
• The ground state energy of heavy atoms: Relativistic lowering of the leading energy correction
• A simple proof of Hardy-Lieb-Thirring inequalities
• The Thomas-Fermi theory of atoms, molecules and solids
• On the leading energy correction for the statistical model of the atom: Interacting case
• Asymptotics of the ground state energies of large Coulomb systems
• A new coherent states approach to semiclassics which gives Scott's correction
• Hardy-Lieb-Thirring inequalities for fractional Pauli operators
• The ground state energy of heavy atoms: the leading correction
• Relativistic Scott correction in self-generated magnetic fields
• On the energy of a large atom
• The large-Z Behavior of pseudorelativistic atoms
• Relativistic Scott correction for atoms and molecules
• A new phase space localization technique with application to the sum of negative eigenvalues of Schrödinger operators
• Thomas-fermi and related theories of atoms and molecules

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