Eigenvalue spacings and dynamical upper bounds for discrete one-dimensional Schrödinger operators

Jonathan Breuer; Yoram Last; Yosef Strauss

doi:10.1215/00127094-2011-006

Eigenvalue spacings and dynamical upper bounds for discrete one-dimensional Schrödinger operators

Jonathan Breuer, Yoram Last, Yosef Strauss

Einstein Institute of Mathematics

The Hebrew University of Jerusalem

Research output: Contribution to journal › Article › peer-review

Abstract

We prove dynamical upper bounds for discrete one-dimensional Schrödinger operators in terms of various spacing properties of the eigenvalues of finite-volume approximations. We demonstrate the applicability of our approach by a study of the Fibonacci Hamiltonian.

Original language	English
Pages (from-to)	425-460
Number of pages	36
Journal	Duke Mathematical Journal
Volume	157
Issue number	3
DOIs	https://doi.org/10.1215/00127094-2011-006
State	Published - 15 Apr 2011

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1215/00127094-2011-006

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title = "Eigenvalue spacings and dynamical upper bounds for discrete one-dimensional Schr{\"o}dinger operators",

abstract = "We prove dynamical upper bounds for discrete one-dimensional Schr{\"o}dinger operators in terms of various spacing properties of the eigenvalues of finite-volume approximations. We demonstrate the applicability of our approach by a study of the Fibonacci Hamiltonian.",

author = "Jonathan Breuer and Yoram Last and Yosef Strauss",

year = "2011",

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doi = "10.1215/00127094-2011-006",

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N2 - We prove dynamical upper bounds for discrete one-dimensional Schrödinger operators in terms of various spacing properties of the eigenvalues of finite-volume approximations. We demonstrate the applicability of our approach by a study of the Fibonacci Hamiltonian.

AB - We prove dynamical upper bounds for discrete one-dimensional Schrödinger operators in terms of various spacing properties of the eigenvalues of finite-volume approximations. We demonstrate the applicability of our approach by a study of the Fibonacci Hamiltonian.

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DO - 10.1215/00127094-2011-006

M3 - مقالة

SN - 0012-7094

VL - 157

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EP - 460

JO - Duke Mathematical Journal

JF - Duke Mathematical Journal

IS - 3

ER -

Eigenvalue spacings and dynamical upper bounds for discrete one-dimensional Schrödinger operators

Abstract

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