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ON THE HIGH-ENERGY ASYMPTOTICS OF THE INTEGRATED DENSITY OF STATES

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Publication:4437743
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DOI10.1112/S0024609303002467zbMath1075.35542MaRDI QIDQ4437743

Alexander Pushnitski, Evgeny L. Korotyaev

Publication date: 3 December 2003

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)


zbMATH Keywords

Schrödinger operatorsintegrated density of states


Mathematics Subject Classification ID

Asymptotic distributions of eigenvalues in context of PDEs (35P20) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10)


Related Items (6)

Classical wave methods and modern gauge transforms: spectral asymptotics in the one dimensional case ⋮ Complete asymptotic expansion of the integrated density of states of multidimensional almost-periodic Schrödinger operators ⋮ Complete asymptotic expansion of the integrated density of states of multidimensional almost-periodic pseudo-differential operators ⋮ Heat kernel asymptotics for magnetic Schrödinger operators ⋮ An overview of periodic elliptic operators ⋮ Asymptotic expansion of the integrated density of states of a two-dimensional periodic Schrödinger operator






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