{"title":"Hyperbolic Hamiltonian flows and the semi-classical Poincaré map","authors":"H. Fadhlaoui, H. Louati, M. Rouleux","doi":"10.1109/DD.2013.6712803","DOIUrl":null,"url":null,"abstract":"We consider semi-excited resonances created by a periodic orbit of hyperbolic type for Schrödinger like operators with a small “Planck constant”. They are defined within an analytic framework based on the semi-classical quantization of Poincaré map in action-angle variables.","PeriodicalId":340014,"journal":{"name":"Proceedings of the International Conference Days on Diffraction 2013","volume":"64 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2013-05-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"5","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the International Conference Days on Diffraction 2013","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/DD.2013.6712803","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 5
Abstract
We consider semi-excited resonances created by a periodic orbit of hyperbolic type for Schrödinger like operators with a small “Planck constant”. They are defined within an analytic framework based on the semi-classical quantization of Poincaré map in action-angle variables.
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