This article is cited in 14 papers

Resolvent estimates and the spectrum of the Dirac operator with periodical potential

L. I. Danilov

Physical-Technical Institute of the Ural Branch of the Russian Academy of Sciences

Abstract: Some estimates of the norm of resolvent of Dirac operator on $n$-dimensional tores ($n\ge 2$) for complex values of quasimomentum are given. The absolutely continuity of the spectrum of periodical Dirac operator with potential $V\in L_{\mathrm {\mathrm {loc}}}^\beta (\mathbb R^3)$, $\beta >3$, is proved.

Received: 10.03.1994

 English version: Theoretical and Mathematical Physics, 1995, 103:1, 349–365

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