This article is cited in 13 papers

On absence of eigenvalues in the spectra of two-dimensional periodic Dirac and Schrödinger operators

L. I. Danilov

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

Abstract: We prove the absence of eigenvalues in the spectrum of two-dimensional periodic Dirac operator with martix coefficients of the class $L^{\infty}$ and strongly subordinate matrix potential. We also obtain conditions for the absence of eigenvalues in the spectrum of two-dimensional periodic Schrödinger operator with variable metric.

UDC: 517.958+517.984.5