Anisotropic Jacobi matrices with absolutely continuous spectrum

DOI10.1016/S0764-4442(99)80187-6zbMath0931.39009MaRDI QIDQ4260652

Jaouad Sahbani, Anne Boutet de Monvel-Berthier

Publication date: 28 February 2000

Published in: Comptes Rendus de l'Académie des Sciences - Series I - Mathematics (Search for Journal in Brave)

zbMATH Keywords

difference operatorabsolutely continuous spectrumdiscrete Schrödinger operator3-body problemanisotropic Jacobi matricesdiscrete singular spectrummethod of the conjugate operator

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Spectrum, resolvent (47A10) Difference operators (39A70) Linear difference operators (47B39)

Related Items (5)

ON THE SPECTRAL AND SCATTERING THEORY OF THE SCHRÖDINGER OPERATOR WITH SURFACE POTENTIAL ⋮ Spectral analysis of Jacobi operators and asymptotic behavior of orthogonal polynomials ⋮ Semiclassical asymptotic behavior of orthogonal polynomials ⋮ Spectral theory of a class of block Jacobi matrices and applications ⋮ A complete classification of threshold properties for one-dimensional discrete Schrödinger operators

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