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, Vol. 272, No. 7: pp. 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].

• Item Type: Journal article
• Faculties: Mathematics, Computer Science and Statistics > Mathematics
• Subjects: 500 Science > 510 Mathematics
• ISSN: 0022-1236
• Language: English