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On the virtual levels of positively projected massless Coulomb-Dirac operators (1607.08902v1)
Published 29 Jul 2016 in math-ph, math.CA, math.MP, math.SP, and quant-ph
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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