Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4590155 | Journal of Functional Analysis | 2014 | 29 Pages |
Abstract
Let H:=H0+VH:=H0+V and H⊥:=H0,⊥+VH⊥:=H0,⊥+V be respectively perturbations of the unperturbed Schrödinger operators H0H0 on L2(R3)L2(R3) and H0,⊥H0,⊥ on L2(R2)L2(R2) with constant magnetic field of strength b>0b>0, and V a complex relatively compact perturbation. We prove Lieb–Thirring type inequalities on the discrete spectrum of H and H⊥H⊥. In particular, these estimates give a priori information on the distribution of eigenvalues around the Landau levels of the operator, and describe how fast sequences of eigenvalues converge.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Diomba Sambou,