Mathematical Research Letters

Volume 2, Issue 1, January 1995 pp. 59-74.

Perturbation formulae for the Schrödinger operator with a periodic potential near planes of diffraction

Authors: Yu. E. Karpeshina
Author institution: Saint Petersburg University

Summary: Perturbation formulae for Bloch eigenvalues and their spectral projections in a vicinity of the von Laue diffraction planes are constructed. They are converging series with respect to a model operator, roughly taking into account the diffraction inside the crystal. The behaviour of the isoenergetic surface near the von Laue diffraction planes is described.

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