G-Convergence of Dirac Operators

Details G-Convergence of Dirac Operators G-Convergence of Dirac Operators

2012-03-19

arxiv.org/abs/1203.4267v2

Mathematics

Functional Analysis

13 pages

Scientific paper

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.

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