HOMOGENIZATION OF THE TWO-DIMENSIONAL PERIODIC DIRAC OPERATOR

摘要

We consider the homogenization problem for the two-dimensional periodic Dirac operator with magnetic potential of two types: singular and nonsingular. Based on the operator-theoretic approach due to M. Birman and T. Suslina, we approximate the resolvent in the space of bounded operators acting in L_2(R~2;C~2) with order-sharp error estimates.