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arXiv · 1607.08902

On the virtual levels of positively projected massless Coulomb-Dirac operators

Sergey Morozov·David Müller
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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.

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Sergey Morozov, David Müller. 2016-07-29. On the virtual levels of positively projected massless Coulomb-Dirac operators. https://doi.org/10.1007/s00023-017-0570-5

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