Eigenvalue bounds for Dirac and fractional Schrödinger operators with complex potentials
We prove Lieb–Thirring type bounds for fractional Schrödinger 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].
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School
- Science
Department
- Mathematical Sciences
Published in
Journal of Functional AnalysisVolume
272Issue
7Pages
2987 - 3018Publisher
ElsevierVersion
- AM (Accepted Manuscript)
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© ElsevierPublisher statement
This paper was accepted for publication in the journal Journal of Functional Analysis and the definitive published version is available at https://doi.org/10.1016/j.jfa.2016.12.008.Acceptance date
2016-12-13Publication date
2016-12-23Copyright date
2016ISSN
0022-1236eISSN
1096-0783Publisher version
Language
- en
Depositor
Dr Jean-Claude Cuenin. Deposit date: 17 November 2020Usage metrics
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