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Spectral properties of rotationally symmetric massless dirac operators

Schmidt, Karl Michael 2010. Spectral properties of rotationally symmetric massless dirac operators. Letters in Mathematical Physics 92 (3) , pp. 231-241. 10.1007/s11005-010-0393-5

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It is shown that the essential spectrum of massless Dirac operators with a rotationally symmetric potential in two and three spatial dimensions covers the whole real line. Limit values of the potential at infinity can be eigenvalues of the operator, but outside the limit range of the potential the spectrum is purely absolutely continuous under a mild variation condition on the radial potential.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Mathematics
Subjects: Q Science > QA Mathematics
Uncontrolled Keywords: massless Dirac operator - rotational symmetry - spectrum - graphene
Publisher: Springer
ISSN: 0377-9017
Last Modified: 04 Jun 2017 03:44

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