The Ground State Energy of Heavy Atoms: the Leading Correction

Abstract

For heavy atoms (large atomic number $Z$) described by no-pair operators in the Furry picture we find the ground state's leading energy correction. We compare the result with (semi-)empirical values and Schwinger's prediction showing more than qualitative agreement.

References in corpus (5)

• The Ground State Energy of Heavy Atoms: Relativistic Lowering of the Leading Energy Correction
• The Ground State Energy of Heavy Atoms According to Brown and Ravenhall: Absence of Relativistic Effects in Leading Order
• Relativistic Scott correction in self-generated magnetic fields
• Scott correction for large atoms and molecules in a self-generated magnetic field
• Second order semiclassics with self-generated magnetic fields

Cited by in corpus (6)

• The Scott correction in Dirac-Fock theory
• The Scott conjecture for large Coulomb systems: a review
• The Atomic Density on the Thomas--Fermi Length Scale for the Chandrasekhar Hamiltonian
• Proof of the Strong Scott Conjecture for Heavy Atoms: the Furry Picture
• The Ground State Energy of Heavy Atoms: Leading and Subleading Asymptotics
• The Magnetic Scott Correction for Relativistic Matter at Criticality