Regularity for eigenfunctions of Schrödinger operators

Zusammenfassung

We prove a regularity result in weighted Sobolev (or Babuˇska–Kondratiev) spaces for the eigenfunctions of a single-nucleus Schr¨odinger operator. More precisely,
let Km a (R3N) be the weighted Sobolev space obtained by blowing up the set of singular points of the potential V (x) =
Σ 1jN bj jxj j + Σ 1i<jN cij jxi