Spectral estimates for Schrodinger operators with periodic matrix potentials on the real line

DOI10.1155/IMRN/2006/60314zbMath1155.47046arXivmath/0508568OpenAlexW1994860883MaRDI QIDQ5450639

Dmitry Chelkak, Evgeny L. Korotyaev

Publication date: 13 March 2008

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0508568

zbMATH Keywords

Lyapunov functionresonancespectral gapsquasimomentumperiodic/antiperiodic eigenvalues(Floquet) multiplierSchrödinger operator with a periodic matrix potential

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) General theory of ordinary differential operators (47E05) Inverse problems involving ordinary differential equations (34A55)

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Weyl-Titchmarsh functions of vector-valued Sturm-Liouville operators on the unit interval ⋮ Two-sided estimates of total bandwidth for Schrödinger operators on periodic graphs ⋮ Parametrization of the isospectral set for the vector-valued Sturm-Liouville problem ⋮ A third order operator with periodic coefficients on the real line ⋮ On the bands of the Schrödinger operator with a matrix potential ⋮ Sharp eigenvalue asymptotics for fourth order operators on the circle ⋮ Uniform convergence of the spectral expansion for a differential operator with periodic matrix coefficients ⋮ Conformal spectral theory for the monodromy matrix ⋮ Spectral asymptotics for the third order operator with periodic coefficients ⋮ Spectral estimates for a periodic fourth-order operator ⋮ On the differential operators with periodic matrix coefficients

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