Almost reducibility and oscillatory growth of Sobolev norms

DOI10.1016/j.aim.2023.109417zbMath1529.35422arXiv2208.06814OpenAlexW4292199908MaRDI QIDQ6182794

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Publication date: 21 December 2023

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2208.06814

zbMATH Keywords

metaplectic representationgrowth of Sobolev normsalmost reducibilitytime quasi-periodic1D quantum harmonic oscillatorquadratic quantum Hamiltonian

Mathematics Subject Classification ID

PDEs in connection with quantum mechanics (35Q40) Nonautonomous smooth dynamical systems (37C60) Pseudodifferential operators (47G30) Time-dependent Schrödinger equations and Dirac equations (35Q41)

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