Asymptotic of the density of states for the Schrödinger operator with periodic electric potential

Author:

Helffer Bernard,Mohamed Abderemane

Publisher

Duke University Press

Subject

General Mathematics

Reference27 articles.

1. [RS] M. Reed and B. Simon, Methods of modern mathematical physics. IV. Analysis of operators, Academic Press [Harcourt Brace Jovanovich Publishers], New York, 1978.

2. [CdV] Y. Colin de Verdière, Nombre de points entiers dans une famille homothétique de domains de $\bf R$, Ann. Sci. École Norm. Sup. (4) 10 (1977), no. 4, 559–575.

3. [Hör1] L. Hörmander, The spectral function of an elliptic operator, Acta Math. 121 (1968), 193–218.

4. [Bea] R. Beals, Characterization of pseudodifferential operators and applications, Duke Math. J. 44 (1977), no. 1, 45–57.

5. [Bl] P. M. Bleher, Distribution of the error term in the Weyl asymptotics for the Laplace operator on a two-dimensional torus and related lattice problems, Duke Math. J. 70 (1993), no. 3, 655–682.

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