On stability of ground states for finite crystals in the Schroedinger-Poisson model
arXiv:1808.10385 · doi:10.1063/1.4978211
Abstract
We consider the Schrödinger-Poisson-Newton equations for finite crystals under periodic boundary conditions with one ion per cell of a lattice. The electrons are described by one-particle Schrödinger equation. Our main results are i) the global dynamics with moving ions; ii) the orbital stability of periodic ground state under a novel Jellium and Wiener-type conditions on the ion charge density. Under the Jellium condition both ionic and electronic charge densities for the ground state are uniform.
21 pages. arXiv admin note: substantial text overlap with arXiv:1711.02938