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

Morozov, Sergey and Müller, David (2018): Lieb–Thirring and Cwickel–Lieb–Rozenblum inequalities for perturbed graphene with a Coulomb impurity. In: Journal of Spectral Theory, Vol. 8, No. 3: pp. 987-1017

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.

• Item Type: Journal article
• Keywords: Lieb–Thirring inequality; Cwickel–Lieb–Rozenblum inequality; graphene; Coulomb–Dirac operator
• Faculties: Mathematics, Computer Science and Statistics > Mathematics
• Subjects: 500 Science > 510 Mathematics
• ISSN: 1664-039X
• Alliance/National Licence: This publication is with permission of the rights owner freely accessible due to an Alliance licence and a national licence (funded by the DFG, German Research Foundation) respectively.
• Language: English