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Generic KAM
Hamiltonians are not quantum ergodic
Seán Gomes |
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Vol. 16 (2023), No. 1, 119–171
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Abstract |
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We show that under generic conditions, the quantisation of a -parameter family of KAM perturbations of a completely integrable and Kolmogorov nondegenerate Gevrey smooth Hamiltonian is not quantum ergodic for a full-measure subset of parameter values . |
Keywords
quantum ergodicity, KAM Hamiltonians
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Mathematical Subject Classification 2010
Primary: 58J51
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Milestones
Received: 8 March 2020
Revised: 25 February 2021
Accepted: 10 June 2021
Published: 14 April 2023
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Authors |
| Seán Gomes | |
| Department of Mathematics Northwestern University Chicago, IL United States |
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| © 2023 MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY). |
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