ON THE SPECTRAL PROPERTIES OF DISCRETE SCHRÖDINGER OPERATORS-Reference-Cited by-同舟云学术

ON THE SPECTRAL PROPERTIES OF DISCRETE SCHRÖDINGER OPERATORS

Published:1999-10 Issue:09 Volume:11 Page:1061-1078
ISSN:0129-055X
Container-title:Reviews in Mathematical Physics
language:en
Short-container-title:Rev. Math. Phys.

Author:

DE MONVEL ANNE BOUTET¹,SAHBANI JAOUAD¹

Affiliation:

1. Institut de Mathématiques de Jussieu, CNRS UMR 7586, Physique mathématique et Géométrie, Université Paris 7-Denis Diderot, U.F.R. de Math-ematiques, case 7012, Tour 45–55, 5-ème étage, 2, place Jussieu, 75251 Paris Cedex 05, France

Abstract

We use the method of the conjugate operator to prove the limiting absorption principle and the absence of the singular continuous spectrum for the discrete Schrödinger operator. We also obtain local decay estimates. Our results apply to a large class of perturbating potentials V tending arbitrarily slowly to zero at infinity.

Publisher

World Scientific Pub Co Pte Lt

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129055X99000337

Reference8 articles.

1. On the spectral properties of discrete Schrödinger operators

2. Absolutely continuous spectrum of one-dimensional Schrödinger operators and Jacobi matrices with slowly decreasing potentials

3. On the point spectrum of discrete Schr�dinger operator

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