Lieb–Thirring and Cwickel–Lieb–Rozenblum inequalities for perturbed graphene with a Coulomb impurity

Sergey Morozov; David Müller

doi:10.4171/jst/220

JournalsjstVol. 8, No. 3pp. 987–1017

Lieb–Thirring and Cwickel–Lieb–Rozenblum inequalities for perturbed graphene with a Coulomb impurity

Sergey Morozov
Ludwig-Maximilians-Universität München, Germany, and St. Petersburg University, Russia
- MathSciNet
- zbMATH Open
David Müller
Ludwig-Maximilians-Universität München, Germany
- MathSciNet
- zbMATH Open

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Abstract

We study the two dimensional massless Coulomb–Dirac operator restricted to its positive spectral subspace and prove estimates on the negative eigenvalues created by electromagnetic perturbations.

Cite this article

Sergey Morozov, David Müller, Lieb–Thirring and Cwickel–Lieb–Rozenblum inequalities for perturbed graphene with a Coulomb impurity. J. Spectr. Theory 8 (2018), no. 3, pp. 987–1017

DOI 10.4171/JST/220