Analysis of periodic Schrödinger operators: Regularity and approximation of eigenfunctions
Analysis of periodic Schrödinger operators: Regularity and approximation of eigenfunctions
Let V be a real valued potential that is smooth everywhere on R3, except at a periodic, discrete set S of points, where it has singularities of the Coulomb-type Z/r. We assume that the potential V is periodic with period lattice L. We study the spectrum of the Schrödinger operator …