Quantum Birkhoff–Gustavson normal form in some completely resonant cases

dc.contributor.authorGhomari, Kaoutar
dc.contributor.authorMessirdi, Bekkai
dc.date.accessioned2019-06-24T10:21:53Z
dc.date.available2019-06-24T10:21:53Z
dc.date.issued2011-06-01
dc.description.abstractThe goal of this paper is to present an explicit computation of the Birkhoff–Gustavson normal form in the 1: 1, 1: 2 and 1: 3 resonances, by using the concept of Weyl quantization, especially when it is about the first terms. We use in particular the Weyl symbolic calculus and the abstract theorem of the quantum Birkhoff–Gustavson normal form in infinite dimension.en_US
dc.identifier.urihttp://e-biblio.univ-mosta.dz/handle/123456789/11100
dc.publisherJournal of Mathematical Analysis and Applicationsen_US
dc.subjectBirkhoff normal formen_US
dc.subjectHarmonic oscillatoren_US
dc.subjectWeyl quantizationen_US
dc.subjectResonancesen_US
dc.titleQuantum Birkhoff–Gustavson normal form in some completely resonant casesen_US
dc.typeArticleen_US

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