1-d quantum harmonic oscillator with time quasi-periodic quadratic perturbation: reducibility and growth of Sobolev norms
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Publication:2224719
DOI10.1016/j.matpur.2020.09.002zbMath1456.35175arXiv2003.13034OpenAlexW3088922120MaRDI QIDQ2224719
Publication date: 4 February 2021
Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2003.13034
PDEs in connection with quantum mechanics (35Q40) Pseudodifferential operators (47G30) Time-dependent Schrödinger equations and Dirac equations (35Q41)
Related Items (7)
Growth of Sobolev norms in 1-d quantum harmonic oscillator with polynomial time quasi-periodic perturbation ⋮ Sobolev norms explosion for the cubic NLS on irrational tori ⋮ Reducibility of quantum harmonic oscillator on \(\mathbb{R}^d\) perturbed by a quasi: periodic potential with logarithmic decay ⋮ Reducibility of 1D quantum harmonic oscillator with decaying conditions on the derivative of perturbation potentials ⋮ Almost reducibility and oscillatory growth of Sobolev norms ⋮ Growth of Sobolev norms for linear Schrödinger operators ⋮ Growth of Sobolev norms in linear Schrödinger equations as a dispersive phenomenon
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