Senoussaoui Abderrahmane

collaborators

2 papers

math.AP2013

Semiclassical analysis for Hamiltonian in the Born-Oppenheimer approximation

Senoussaoui Abderrahmane

The purpose of this paper is to show that the operator \begin{equation*} H\left(h\right) =-h^{2}Δ_{x}-Δ_{y}+V\left(x,y\right), \end{equation*}% $V$ is continuous (or $V\in L^{2}\le…

math.AP2013

On a class of $h$ -Fourier integral operators

Harrat Chahrazed, Senoussaoui Abderrahmane

In this paper, we study the $L^{2}$ -boundedness and $L^{2}$ -compactness of a class of $h$ -Fourier integral operators. These operators are bounded (respectively compact) if the weig…

Semiclassical analysis for Hamiltonian in the Born-Oppenheimer approximation

On a class of h-Fourier integral operators

On a class of $h$ -Fourier integral operators