GENERIC KAM HAMILTONIANS ARE NOT QUANTUM ERGODIC

被引：0
|
作者：
Gomes, Sean [1 ]
机构：
[1] Northwestern Univ, Dept Math, Chicago, IL 60611 USA
来源：
ANALYSIS & PDE | 2023年 / 16卷 / 01期
关键词：
quantum ergodicity; KAM Hamiltonians; EFFECTIVE STABILITY; INVARIANT TORI; QUASIMODES; THEOREM;
D O I：
10.2140/apde.2023.16.119
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We show that under generic conditions, the quantisation of a 1-parameter family of KAM perturbations P(x, xi; t) of a completely integrable and Kolmogorov nondegenerate Gevrey smooth Hamiltonian is not quantum ergodic for a full-measure subset of parameter values t is an element of (0, delta).
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页码：119 / 171
页数：55
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