, Volume 103, Issue 1, pp 349-365

Resolvent estimates and spectrum of the Dirac operator with periodic potential

Rent the article at a discount

Rent now

* Final gross prices may vary according to local VAT.

Get Access

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.

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