31 citations · 60 across the 11 of their papers we have counts for
Showing 2018Show all
2 papers · 1 filter
math.AP2018
On stability of ground states for finite crystals in the Schroedinger-Poisson model
Alexander Komech, Elena Kopylova
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-p…
math.AP2018
On the dispersion decay for crystals in the linearized Schrödinger-Poisson model
Alexander Komech, Elena Kopylova
The Schrödinger-Poisson-Newton equations for crystals with a cubic lattice and one ion per cell are considered. The ion charge density is assumed i) to satisfy the Wiener and Jelli…