Pure point spectrum of the Floquet Hamiltonian for the quantum harmonic oscillator under time quasi-periodic perturbations
type: Item
instance of: scholarly article
title: Pure point spectrum of the Floquet Hamiltonian for the quantum harmonic oscillator under time quasi-periodic perturbations
zbMATH Open document ID: 1144.81018
published in: Communications in Mathematical Physics
publication date: 2008-07-30T00:00:00Z
full work available at URL: https://arxiv.org/abs/0805.3764
Mathematics Subject Classification ID: 81Q15
Mathematics Subject Classification ID: 35Q40
Mathematics Subject Classification ID: 35B15
Mathematics Subject Classification ID: 81Q10
zbMATH DE Number: 5306070
author: W.-M. Wang
MaRDI profile type: Publication
OpenAlex ID: W3105609080
arXiv ID: 0805.3764
cites work: On bounding the Betti numbers and computing the Euler characteristic of semi-algebraic sets
cites work: Q4763964
cites work: Quasi-periodic solutions of Hamiltonian perturbations of 2D linear Schrödinger equations
cites work: Green's Function Estimates for Lattice Schrodinger Operators and Applications. (AM-158)
cites work: Anderson localization for Schrödinger operators on \(\mathbb{Z}^2\)with quasi-periodic potential
cites work: Anderson localization for time quasi-periodic random Schrödinger and wave equations
cites work: Quasi-periodic solutions of nonlinear random Schrödinger equations
cites work: On the eigenvalues of a disturbed harmonic oscillator
cites work: Q4720248
cites work: Q3765289
cites work: Newton's method and periodic solutions of nonlinear wave equations
cites work: Q3756011
cites work: Floquet Hamiltonians with pure point spectrum
cites work: Almost reducibility of linear quasi-periodic systems
cites work: Q5301219
cites work: Q3314400
cites work: Absence of diffusion in the Anderson tight binding model for large disorder or low energy
cites work: Dynamical localization for discrete and continuous random Schrödinger operators
cites work: Bootstrap multiscale analysis and localization in random media
cites work: Q4515165
cites work: Absolute continuity of the Floquet spectrum for a nonlinearly forced harmonic oscillator
cites work: Non-stochasticity of time-dependent quadratic Hamiltonians and the spectra of canonical transformations
cites work: Spectral and stability aspects of quantum chaos
cites work: On the fundamental solution of a perturbed harmonic oscillator
cites work: Q3874765
cites work: Nearly integrable infinite-dimensional Hamiltonian systems
cites work: Invariant Cantor manifolds of quasi-periodic oscillations for a nonlinear Schrödinger equation
cites work: Q3744481
cites work: Q3137751
cites work: Resonances for the AC-Stark effect
cites work: Schrödinger evolution equations with magnetic fields
cites work: Q3333453
cites work: Reconstruction of singularities for solutions of Schrödinger's equation
DOI: 10.1007/S00220-007-0379-Z
description: scientific article