Eigenvalue bounds for Dirac and fractional Schrodinger operators with complex potentials

Cuenin, Jean-Claude (2017): Eigenvalue bounds for Dirac and fractional Schrodinger operators with complex potentials. In: Journal of Functional Analysis, Bd. 272, Nr. 7: S. 2987-3018

Abstract

We prove Lieb-Thirring type bounds for fractional Schrodinger operators and Dirac operators with complex-valued potentials. The main new ingredient is a resolvent bound in Schatten spaces for the unperturbed operator, in the spirit of Frank and Sabin [11].

• Dokumententyp: Zeitschriftenartikel
• Fakultät: Mathematik, Informatik und Statistik > Mathematik
• Themengebiete: 500 Naturwissenschaften und Mathematik > 510 Mathematik
• ISSN: 0022-1236
• Sprache: Englisch