This article is cited in 15 papers

On the spectrum of the two-dimensional periodic Dirac operator

L. I. Danilov

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

Abstract: We prove the absolute continuity of the Dirac operator spectrum in $\mathbf R^2$ with the scalar potential $V$ and the vector potential $A=(A_1,A_2)$ being periodic functions $($with a common period lattice$)$ such that $V,A_j\in L^q_{\operatorname{loc}}(\mathbf R^2)$, $q>2$.

Received: 25.06.1998

DOI: 10.4213/tmf682

 English version: Theoretical and Mathematical Physics, 1999, 118:1, 1–11

Bibliographic databases:

• 
• 
•