Mathematical Research Letters

Volume 2 (1995)

Number 1

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

Pages: 59 – 74

DOI: http://dx.doi.org/10.4310/MRL.1995.v2.n1.a6

Author

Yu. E. Karpeshina (Saint Petersburg University)

Abstract

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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