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

^*Corresponding author for this work

Einstein Institute of Mathematics

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

9 Scopus citations

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

Access to Document

10.1215/00127094-2011-006

Cite this

@article{086bcc715f75434b9f6fcf9f1ffbc1d1,

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",

month = apr,

day = "15",

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

language = "אנגלית",

volume = "157",

pages = "425--460",

journal = "Duke Mathematical Journal",

issn = "0012-7094",

publisher = "Duke University Press",

number = "3",

}

TY - JOUR

T1 - Eigenvalue spacings and dynamical upper bounds for discrete one-dimensional Schrödinger operators

AU - Breuer, Jonathan

AU - Last, Yoram

AU - Strauss, Yosef

PY - 2011/4/15

Y1 - 2011/4/15

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.

UR - https://www.scopus.com/pages/publications/79955645581

U2 - 10.1215/00127094-2011-006

DO - 10.1215/00127094-2011-006

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:79955645581

SN - 0012-7094

VL - 157

SP - 425

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

Access to Document

Other files and links

Fingerprint

Cite this