Duke Mathematical Journal

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

Bernard Helffer and Abderemane Mohamed

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Duke Math. J., Volume 92, Number 1 (1998), 1-60.

First available in Project Euclid: 19 February 2004

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Zentralblatt MATH identifier

Primary: 35P20: Asymptotic distribution of eigenvalues and eigenfunctions
Secondary: 35J10: Schrödinger operator [See also 35Pxx] 47F05: Partial differential operators [See also 35Pxx, 58Jxx] (should also be assigned at least one other classification number in section 47) 47N50: Applications in the physical sciences 81Q10: Selfadjoint operator theory in quantum theory, including spectral analysis


Helffer, Bernard; Mohamed, Abderemane. Asymptotic of the density of states for the Schrödinger operator with periodic electric potential. Duke Math. J. 92 (1998), no. 1, 1--60. doi:10.1215/S0012-7094-98-09201-8. https://projecteuclid.org/euclid.dmj/1077231294

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