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On the spectrum of the two-dimensional periodic Dirac operator

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Abstract

We prove the absolute continuity of the Dirac operator spectrum inR 2 with the scalar potential V and the vector potential A=(A1, A2) being periodic functions (with a common period lattice) such that V, Aj≠L q loc (R 2), q>2.

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Authors and Affiliations

  1. Physics and Technology Institute, Urals Branch, Russian Academy of Sciences, Izhevsk, Russia

    L. I. Danilov

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  1. L. I. Danilov
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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 118, No. 1, pp. 3–14, January, 1999.

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Danilov, L.I. On the spectrum of the two-dimensional periodic Dirac operator. Theor Math Phys 118, 1–11 (1999). https://doi.org/10.1007/BF02557191

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  • DOI: https://doi.org/10.1007/BF02557191

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