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Lieb–Thirring type inequalities for non-self-adjoint perturbations of magnetic Schrödinger operators.
- Source :
-
Journal of Functional Analysis . Apr2014, Vol. 266 Issue 8, p5016-5044. 29p. - Publication Year :
- 2014
-
Abstract
- Abstract: Let and be respectively perturbations of the unperturbed Schrödinger operators on and on with constant magnetic field of strength , and V a complex relatively compact perturbation. We prove Lieb–Thirring type inequalities on the discrete spectrum of H and . 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. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 00221236
- Volume :
- 266
- Issue :
- 8
- Database :
- Academic Search Index
- Journal :
- Journal of Functional Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 94963775
- Full Text :
- https://doi.org/10.1016/j.jfa.2014.02.020