Stability of atoms and molecules in an ultrarelativistic Thomas-Fermi-Weizsaecker model

Abstract

We consider the zero mass limit of a relativistic Thomas-Fermi-Weizsaecker model of atoms and molecules. We find bounds for the critical nuclear charges that ensure stability.

8 pages, LaTex

References in corpus (1)

• The Ground State Energy of Heavy Atoms: Relativistic Lowering of the Leading Energy Correction

Cited by in corpus (2)

• Limit profiles for singularly perturbed Choquard equations with local repulsion
• The Scott conjecture for large Coulomb systems: a review