ASYMPTOTIC EXPANSION OF THE STATE DENSITY AND THE SPECTRAL FUNCTION OF A HILL OPERATOR

DOI10.1070/SM1987v056n02ABEH003047zbMath0624.34018OpenAlexW1969095161MaRDI QIDQ3762643

D. Schenk, Mikhail A. Shubin

Publication date: 1987

Published in: Mathematics of the USSR-Sbornik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm1987v056n02abeh003047

zbMATH Keywords

spectral functionHill operatorasymptotic expansion of the density states

Mathematics Subject Classification ID

Schrödinger operator, Schrödinger equation (35J10) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30) Asymptotic expansions of solutions to ordinary differential equations (34E05) Hamiltonian and Lagrangian mechanics (70H99) Ordinary differential operators (34L99)

Related Items (8)

Complete Semiclassical Spectral Asymptotics for Periodic and Almost Periodic Perturbations of Constant Operators ⋮ 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 ⋮ 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 ⋮ Mikhail Aleksandrovich Shubin

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