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Title: G-Convergence of Dirac Operators
Authors: Almanasreh, Hasan
Svanstedt, Nils
Issue Date: 16-Mar-2012
Publisher: Journal of Function Spaces
Abstract: 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 of positive definite self-adjoint operators in Hilbert spaces we prove G-compactness for families of projections of Dirac operators. We also prove convergence of the corresponding point spectrum in the spectral gap.
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