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).

引用

页码：119 / 171

页数：55

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