Morozov, Sergey; Müller, David (2017): On the Virtual Levels of Positively Projected Massless Coulomb-Dirac Operators. In: Annales Henri Poincare, Vol. 18, No. 7: pp. 2467-2497 |
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Abstract
Considering different self-adjoint realisations of positively projected massless Coulomb-Dirac operators we find out under which conditions any negative perturbation, however small, leads to emergence of negative spectrum. We also prove some weighted Lieb-Thirring estimates for negative eigenvalues of such operators. In the process we find explicit spectral representations for all self-adjoint realisations of massless Coulomb-Dirac operators on the half-line.
Item Type: | Journal article |
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Faculties: | Mathematics, Computer Science and Statistics > Mathematics |
Subjects: | 500 Science > 510 Mathematics |
ISSN: | 1424-0637 |
Language: | English |
ID Code: | 53467 |
Deposited On: | 14. Jun 2018 09:53 |
Last Modified: | 04. Nov 2020 13:32 |
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