Asymptotic analysis for Schrödinger Hamiltonians via Birkhoff–Gustavson normal form
| 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.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.identifier.uri | http://e-biblio.univ-mosta.dz/handle/123456789/11153 | |
| 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 |