G-convergence of Dirac operators
Artikel i vetenskaplig tidskrift, 2012

We consider the linear Dirac operator with a (−1)-homogeneous locally periodic potential that varies with respect to a small parameter. Using the notation of G-convergence for positive self-adjoint operators in Hilbert spaces we prove G-compactness in the strong resolvent sense for families of projections of Dirac operators. We also prove convergence of the corresponding point spectrum in the spectral gap.

Författare

Hasan Almanasreh

Göteborgs universitet

Chalmers, Matematiska vetenskaper

Nils Svanstedt

Chalmers, Matematiska vetenskaper

Göteborgs universitet

Journal of Function Spaces and Applications

0972-6802 (ISSN) 1758-4965 (eISSN)

Vol. 2012 Article ID 789875, 13 pages-

Ämneskategorier

Annan matematik

DOI

10.1155/2012/789875