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Resolvent estimates and spectrum of the Dirac operator with periodic potential

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Abstract

Some estimates are given of the norm of the resolvent of the Dirac operator on ann-dimensional torus (n ≥ 2) for complex values of the quasimomentum. It is shown that the spectrum of the periodic Dirac operator with potential\(V \in L_{loc}^\beta (R^3 ),\beta > 3\), β>3, is absolutely continuous.

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Authors and Affiliations

  1. Physicotechnical Institute of the Ural Division of the Russian Academy of Sciences, USSR

    L. I. Danilov

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  1. L. I. Danilov
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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 103, No. 1, pp. 3–22, April, 1995.

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Danilov, L.I. Resolvent estimates and spectrum of the Dirac operator with periodic potential. Theor Math Phys 103, 349–365 (1995). https://doi.org/10.1007/BF02069779

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  • DOI: https://doi.org/10.1007/BF02069779

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