The rotation number for almost periodic Schrödinger operators with \(\delta \)-potentials
type: Item
instance of: scholarly article
title: The rotation number for almost periodic Schrödinger operators with \(\delta \)-potentials
zbMATH Open document ID: 1493.34232
author: David Damanik
author: Zhe Zhou
published in: Journal of Dynamics and Differential Equations
publication date: 2022-03-17T00:00:00Z
Mathematics Subject Classification ID: 34L40
Mathematics Subject Classification ID: 37E45
Mathematics Subject Classification ID: 47E05
zbMATH DE Number: 7491606
zbMATH Keywords: Schrödinger operators
zbMATH Keywords: almost periodic potentials
zbMATH Keywords: \(\delta\)-interactions
Wikidata QID: Q115383137
MaRDI profile type: Publication
full work available at URL: s10884-021-10019-z
OpenAlex ID: W3175227372
cites work: Almost periodic Schrödinger operators. II: The integrated density of states
cites work: Schrödinger operators with dynamically defined potentials
cites work: The rotation number for finite difference operators and its properties
cites work: Q3281164
cites work: Rotation number and exponential dichotomy for linear Hamiltonian systems: from theoretical to numerical results
cites work: Almost periodic differential equations
cites work: The rotation number for almost periodic potentials
cites work: Equicontinuous Delone Dynamical Systems
cites work: An ergodic theorem for Delone dynamical systems and existence of the integrated density of states
cites work: On weakly almost periodic measures
cites work: Rotation numbers of linear Hamiltonian systems with phase transitions over almost periodic lattices
cites work: Index theory for symplectic paths with applications
cites work: Resonance tongues and spectral gaps in quasi-periodic Schrödinger operators with one or more frequencies. A numerical exploration
cites work: A generalization of Bochner's theorem and its applications in the study of impulsive differential equations
cites work: Piecewise continuous almost automorphic functions and Favard's theorems for impulsive differential equations in honor of Russell Johnson
cites work: Q3931654
cites work: Uniform ergodic theorems for discontinuous skew-product flows and applications to Schrödinger equations
cites work: The rotation number of the linear Schrödinger equation with discontinuous almost periodic potentials
DOI: 10.1007/S10884-021-10019-Z
Recommended article: The rotation number of the linear Schrödinger equation with discontinuous almost periodic potentials
Recommended article: Rotation numbers of linear Schrödinger equations with almost periodic potentials and phase transmissions
Recommended article: Directional differentiability of the rotation number for the almost- periodic Schrödinger equation
Recommended article: Rotation number for almost periodic Dirac operators
Recommended article: Q3700179
Recommended article: Reconstruction of the function of the rotation number for the Schrödinger operator with almost-periodic potential from a countable set of polynomial invariance laws
Recommended article: THE ROTATION NUMBER APPROACH TO EIGENVALUES OF THE ONE-DIMENSIONAL p-LAPLACIAN WITH PERIODIC POTENTIALS
Recommended article: Regularity of the rotation number for the one-dimensional time-continuous Schrödinger equation
Recommended article: Q4000680
Recommended article: Periodic solutions of \(p\)-Laplacian equations via rotation numbers
description: scientific article; zbMATH DE number 7491606