Asymptotic bounds for spectral bands of periodic Schrödinger operators

Skriganov, M.; Sobolev, A.

doi:10.1090/S1061-0022-06-00900-9

Asymptotic bounds for spectral bands of periodic Schrödinger operators
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by M. M. Skriganov and A. V. Sobolev
Translated by: the authors

St. Petersburg Math. J. 17 (2006), 207-216

DOI: https://doi.org/10.1090/S1061-0022-06-00900-9

Published electronically: January 19, 2006

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Abstract:

The precise upper and lower bounds for the multiplicity of the spectrum band overlapping are given for the multidimensional periodic Schrödinger operators with rational period lattices. These bounds are based on very recent results on the lattice point problem.

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