A Martinez, B Messirdi - Communications in partial differential …, 1994 - Taylor & Francis
We study the spectral properties of general diatomic molecules near a scattering level. We prove that in the Born-Oppenheimer approximation, this study can be reduced to the one of …
L Nedelec - Annales de l'IHP Physique théorique, 1996 - numdam.org
Résonances semi-classiques pour l'opérateur de Schrödinger matriciel en dimension deux Page 1 ANNALES DE L’IHP, SECTION A LAURENCE NEDELEC Résonances semi-classiques …
S Bekkara, B Messirdi, A Senoussaoui - Electronic Journal of Differential …, 2009 - eudml.org
In this paper, we introduce a class of generalized integral operators that includes Fourier integral operators. We establish some conditions on these operators such that they do not …
On étudie le spectre de P=-h 2Δ x Δ y+ V (x, y) sur L 2 (IR x 3 n× IR y 3 p), lorsque h tend vers zéro, n 2, p IN*, dans le cas où le potentiel V (x, y) est singulier de type de Coulomb et …
S Belmouhoub, B Messirdi - Ann. Oradea Univ. Math …, 2017 - arhiva-stiinte.uoradea.ro
We describe in this paper the Grushin problem method, we give the basic ideas of this method and use it to study the spectrum of the Born-Oppenheimer Hamiltonians where the …
N Latigui, B Messirdi, K Ghomari - International Journal of Analysis …, 2020 - etamaths.com
We describe in this paper a significant spectral reduction method for Born-Oppenheimer operators with regular potentials, which leads to an adaptable Birkhoff normal form theorem …
We study the spectral properties of polyatomic molecules near a scattering level. We prove that in the Born-Oppenheimer approximation this study can be reduced to the one of a family …
GA Hagedorn, JH Toloza - International journal of quantum …, 2005 - Wiley Online Library
Exponentially accurate quasimodes for the time‐independent Born–Oppenheimer approximation on a one‐dimensional molecular system - Hagedorn - 2005 - International Journal of Quantum …
GA Hagedorn, JH Toloza - Journal of mathematical analysis and …, 2005 - Elsevier
We consider a simple molecular-type quantum system in which the nuclei have one degree of freedom and the electrons have two levels. The Hamiltonian has the form where h (y) is a …