Explicit constructions via generalized reducibility produce time-decaying perturbations of the quantum harmonic oscillator so that Sobolev norms grow at any chosen sub-exponential rate f(t).
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Generalized Reducibility and Growth of Sobolev Norms
Explicit constructions via generalized reducibility produce time-decaying perturbations of the quantum harmonic oscillator so that Sobolev norms grow at any chosen sub-exponential rate f(t).