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Quantum Birkhoff–Gustavson normal form in some completely resonant cases

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dc.contributor.author Ghomari, Kaoutar
dc.contributor.author Messirdi, Bekkai
dc.date.accessioned 2019-06-24T10:21:53Z
dc.date.available 2019-06-24T10:21:53Z
dc.date.issued 2011-06-01
dc.identifier.uri http://e-biblio.univ-mosta.dz/handle/123456789/11100
dc.description.abstract The 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.publisher Journal of Mathematical Analysis and Applications en_US
dc.subject Birkhoff normal form en_US
dc.subject Harmonic oscillator en_US
dc.subject Weyl quantization en_US
dc.subject Resonances en_US
dc.title Quantum Birkhoff–Gustavson normal form in some completely resonant cases en_US
dc.type Article en_US


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