Generic KAM Hamiltonians are not quantum ergodic
نویسندگان
چکیده
We show that under generic conditions, the quantisation of a $1$-parameter family KAM perturbations $P(x,\xi;t)$ completely integrable and Kolmogorov non-degenerate Gevrey smooth Hamiltonian is not quantum ergodic, at least for full measure subset parameter $t\in (0,\delta)$.
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ژورنال
عنوان ژورنال: Analysis & PDE
سال: 2023
ISSN: ['2157-5045', '1948-206X']
DOI: https://doi.org/10.2140/apde.2023.16.119