Commutator methods for unitary operators

DOI10.4171/JST/45zbMath1290.47036arXiv1112.0167OpenAlexW2964148856MaRDI QIDQ361717

Claudio Fernandez, Serge Richard, Rafael Tiedra de Aldecoa

Publication date: 19 August 2013

Published in: Journal of Spectral Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1112.0167

zbMATH Keywords

limiting absorption principlespectral analysisunitary operatorcocycles over irrational rotationsMourre theory

Mathematics Subject Classification ID

Ergodic theory of linear operators (47A35) Commutators, derivations, elementary operators, etc. (47B47) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Related Items (16)

Asymptotic properties of generalized eigenfunctions for multi-dimensional quantum walks ⋮ Spectral stability of unitary network models ⋮ The absolute continuous spectrum of skew products of compact Lie groups ⋮ Decay estimates for unitary representations with applications to continuous- and discrete-time models ⋮ Quantum walks with an anisotropic coin. I: Spectral theory ⋮ Commutator criteria for strong mixing II. More general and simpler ⋮ Remarks on scattering matrices for Schrödinger operators with critically long-range perturbations ⋮ Spectral theory of pseudodifferential operators of degree 0 and an application to forced linear waves ⋮ Commutator criteria for strong mixing ⋮ Quantum walks with an anisotropic coin. II: Scattering theory ⋮ Furstenberg transformations on Cartesian products of infinite-dimensional tori ⋮ Quantum time delay for unitary operators: General theory ⋮ Spectral and scattering properties of quantum walks on homogenous trees of odd degree ⋮ Abstract theory of pointwise decay with applications to wave and Schrödinger equations ⋮ Stationary scattering theory for unitary operators with an application to quantum walks ⋮ Commutator methods for the spectral analysis of uniquely ergodic dynamical systems

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