Contents Online
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: https://dx.doi.org/10.4310/MRL.1995.v2.n1.a6
Author
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.
Published 1 January 1995