On the spectrum of Schrödinger operators with a finitely supported potential on the <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:mrow><mml:mi>d</mml:mi></mml:mrow></mml:math>-regular tree-Reference-Cited by-同舟云学术

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On the spectrum of Schrödinger operators with a finitely supported potential on the d-regular tree

Published:2009-10 Issue:10 Volume:431 Page:1940-1951
ISSN:0024-3795
Container-title:Linear Algebra and its Applications
language:en
Short-container-title:Linear Algebra and its Applications

Author:

Ando Kazunori,Higuchi Yusuke

Publisher

Elsevier BV

Subject

Discrete Mathematics and Combinatorics,Geometry and Topology,Numerical Analysis,Algebra and Number Theory

Reference13 articles.

1. Fluctuation-based proof of the stability of ac spectra of random operators on tree graphs;Aizenman;Contemp. Math.,2006

2. Stability of the absolutely continuous spectrum of random Schrödinger operators on tree graphs;Aizenman;Probab. Theory Related Fields,2006

3. A Mourre estimate for a Schrödinger operator on a binary tree;Allard;Rev. Math. Phys.,2000

4. F.-P. Boca, Rotation C∗-algebras and almost Mathieu operators, The Theta Foundation, Bucharest, 2001.

5. J. Breuer, Singular Continuous and Dense Point Spectrum for Sparse Trees with Finite Dimensions, 2006. Available at: arXiv:math/0608159.

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Spectral and scattering theory for Schrödinger operators on perturbed topological crystals;Reviews in Mathematical Physics;2018-04-19

2. On the Number of Discrete Eigenvalues of a Discrete Schrödinger Operator with a Finitely Supported Potential;Letters in Mathematical Physics;2016-08-25

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