Asymptotic analysis for Schrödinger Hamiltonians via Birkhoff–Gustavson normal form

Messirdi, Bekkai; Ghomari, Kaoutar; Vũ Ngọc, San

dc.contributor.author	Messirdi, Bekkai
dc.contributor.author	Ghomari, Kaoutar
dc.contributor.author	Vũ Ngọc, San
dc.date.accessioned	2019-06-25T09:07:42Z
dc.date.available	2019-06-25T09:07:42Z
dc.date.issued	2013-01-01
dc.identifier.uri	http://e-biblio.univ-mosta.dz/handle/123456789/11153
dc.description.abstract	This article reviews the Birkhoff–Gustavson normal form theorem (BGNF) near an equilibrium point of a quantum Hamiltonian. The BGNF process is thereafter used to investigate the spectrum of Schrödinger operators in the 1: 1, 1: 2 and 1: 3 resonances. A computer program is proposed to compute the coefficients of the BGNF up to any order.	en_US
dc.publisher	Asymptotic Analysis	en_US
dc.subject	Birkho¤ Normal Form	en_US
dc.subject	Harmonic oscillator	en_US
dc.subject	Bargmann representation	en_US
dc.subject	Resonances	en_US
dc.subject	Fermi resonance	en_US
dc.title	Asymptotic analysis for Schrödinger Hamiltonians via Birkhoff–Gustavson normal form	en_US
dc.type	Article	en_US