Absolute continuity of the Floquet spectrum for a nonlinearly forced harmonic oscillator
From MaRDI portal
Publication:5940553
DOI10.1007/s002200000296zbMath0983.35042arXivmath-ph/0003007OpenAlexW2097324829MaRDI QIDQ5940553
Publication date: 9 August 2001
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math-ph/0003007
Periodic solutions to PDEs (35B10) General topics in linear spectral theory for PDEs (35P05) Schrödinger operator, Schrödinger equation (35J10) Perturbations in context of PDEs (35B20)
Related Items (16)
Growth of Sobolev norms in 1-d quantum harmonic oscillator with polynomial time quasi-periodic perturbation ⋮ Reducibility of quantum harmonic oscillator on \(\mathbb{R}^d\) perturbed by a quasi: periodic potential with logarithmic decay ⋮ Reducibility of 1D quantum harmonic oscillator perturbed by a quasiperiodic potential with logarithmic decay ⋮ Reducibility of the quantum harmonic oscillator in \(d\)-dimensions with polynomial time-dependent perturbation ⋮ Reducibility of 1D quantum harmonic oscillator with decaying conditions on the derivative of perturbation potentials ⋮ On weakly turbulent solutions to the perturbed linear harmonic oscillator ⋮ Reducibility of 1-d Schrödinger equation with time quasiperiodic unbounded perturbations. I ⋮ Almost reducibility and oscillatory growth of Sobolev norms ⋮ 1-d quantum harmonic oscillator with time quasi-periodic quadratic perturbation: reducibility and growth of Sobolev norms ⋮ Reducibility of the quantum harmonic oscillator in d-dimensions with finitely differentiable perturbations ⋮ Pure point spectrum of the Floquet Hamiltonian for the quantum harmonic oscillator under time quasi-periodic perturbations ⋮ A reduction theorem for time dependent Schrödinger operator with finite differentiable unbounded perturbation ⋮ Reducibility of 1-d Schrödinger equation with time quasiperiodic unbounded perturbations. II ⋮ Spectrum for quantum duffing oscillator and small-divisor equation with large-variable coefficient ⋮ The parity phenomenon of the Floquet spectra ⋮ Stability of the electron cyclotron resonance
This page was built for publication: Absolute continuity of the Floquet spectrum for a nonlinearly forced harmonic oscillator