On absence of eigenvalues in the spectra of two-dimensional periodic Dirac and Schr\"odinger operators

L. I. Danilov

Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, Tome 29 (2004) no. 1, pp. 49-84.

Résumé

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.

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