Theoretical and Mathematical Physics

, Volume 103, Issue 1, pp 349–365

Resolvent estimates and spectrum of the Dirac operator with periodic potential

  • L. I. Danilov

DOI: 10.1007/BF02069779

Cite this article as:
Danilov, L.I. Theor Math Phys (1995) 103: 349. doi:10.1007/BF02069779


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.

Copyright information

© Plenum Publishing Corporation 1995

Authors and Affiliations

  • L. I. Danilov
    • 1
  1. 1.Physicotechnical Institute of the Ural Division of the Russian Academy of SciencesUSSR