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

  • David Müller

    Ludwig-Maximilians-Universität München, Germany
Lieb–Thirring and Cwickel–Lieb–Rozenblum inequalities for perturbed graphene with a Coulomb impurity cover
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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