Title :
On homogenization of the periodic Dirac operator
Author_Institution :
Dept. of Phys., St.Petersburg State Univ., St. Petersburg, Russia
fDate :
May 28 2012-June 1 2012
Abstract :
We study homogenization problem for the two-dimensional periodic Dirac operator with the help of operator-theoretic approach to homogenization for matrix elliptic second order differential operators suggested by M. Sh. Birman and T. A. Suslina. Approximations of the resolvent of the Dirac operator with non-singular and singular magnetic potentials in the L2-operator norm with sharp order error estimates are obtained.
Keywords :
Dirac equation; differential equations; L2-operator norm; homogenization problem; matrix elliptic second order differential operator; operator-theoretic approach; periodic Dirac operator homogenization; sharp order error estimates; singular magnetic poten- tials; two-dimensional periodic Dirac operator; Approximation methods; Diffraction; Educational institutions; Electronic mail; Equations; Lattices; Physics;
Conference_Titel :
Days on Diffraction (DD), 2012
Conference_Location :
St. Petersburg
Print_ISBN :
978-1-4673-4418-0
DOI :
10.1109/DD.2012.6402772
