Relativistic Scott correction for atoms and molecules
Publikation: Forskning - peer review › Tidsskriftartikel
We prove the first correction to the leading Thomas-Fermi energy for the ground state energy of atoms and molecules in a model where the kinetic energy of the electrons is treated relativistically. The leading Thomas-Fermi energy, established in , as well as the correction given here, are of semiclassical nature.
Our result on atoms and molecules is proved from a general semiclassical estimate for relativistic operators with potentials with Coulomb-like singularities. This semiclassical estimate is obtained using the coherent state calculus introduced in . The paper contains a unified treatment of the relativistic as well as the nonrelativistic case.