Asymptotic Analysis of the Periodic Schrodinger Operator

Details Asymptotic Analysis of the Periodic Schrodinger Operator Asymptotic Analysis of the Periodic Schrodinger Operator

2005-03-14

arxiv.org/abs/math-ph/0503034v1

Physics

Mathematical Physics

28 pages

Scientific paper

In this paper we obtain asymptotic formulas of arbitrary order for the Bloch
eigenvalues and Bloch functions of the Schrodinger operator of arbitrary
dimension, with periodic, with respect to arbitrary lattice, potential.
Moreover, we estimate the measure of the isoenergetic surfaces in the high
energy region.

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