On the Virtual Levels of Positively Projected Massless Coulomb-Dirac Operators

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

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
• Faculties: Mathematics, Computer Science and Statistics > Mathematics
• Subjects: 500 Science > 510 Mathematics
• ISSN: 1424-0637
• Language: English