On the density of states for the periodic Schrödinger operator

DOI10.1007/BF02384494zbMath1021.35027OpenAlexW1984184089MaRDI QIDQ1810336

Yulia E. Karpeshina

Publication date: 16 June 2003

Published in: Arkiv för Matematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02384494

zbMATH Keywords

perturbation techniqueperiodic differential operator

Mathematics Subject Classification ID

Asymptotic distributions of eigenvalues in context of PDEs (35P20) Schrödinger operator, Schrödinger equation (35J10)

Related Items (10)

Complete asymptotic expansions of the spectral function for symbolic perturbations of almost periodic Schrödinger operators in dimension one ⋮ Asymptotics of the integrated density of states for periodic elliptic pseudo-differential operators in dimension one ⋮ Spectral properties of a limit-periodic Schrödinger operator in dimension two ⋮ 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 ⋮ THE BETHE–SOMMERFELD CONJECTURE FOR THE 3-DIMENSIONAL PERIODIC LANDAU OPERATOR ⋮ An overview of periodic elliptic operators ⋮ Asymptotic expansion of the integrated density of states of a two-dimensional periodic Schrödinger operator ⋮ Integrated density of states: From the finite range to the periodic Airy–Schrödinger operator ⋮ On the spectrum of a limit-periodic Schrödinger operator

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