2 citations · 6 across the 6 of their papers we have counts for
6 papers
Resolvent and scattering matrix at the maximum of the potential
Ivana Alexandrova, Jean-Francois Bony, Thierry Ramond
We study the microlocal structure of the resolvent of the semi-classical Schrodinger operator with short range potential at an energy which is a unique non-degenerate global maximu…
Semiclassical scattering amplitude at the maximum point of the potential
Ivana Alexandrova, Jean-Francois Bony, Thierry Ramond
We compute the scattering amplitude for Schrödinger operators at a critical energy level, corresponding to the maximum point of the potential. We follow the wrok of Robert and Tamu…
Semi-Classical Behavior of the Spectral Function
Ivana Alexandrova
We study the semi-classical behavior of the spectral function of the Schrödinger operator with short range potential. We prove that the spectral function is a semi-classical Fourie…
Structure of the Short Range Amplitude for General Scattering Relations
Ivana Alexandrova
We consider scattering by short range perturbations of the semi-classical Laplacian. We prove that when a polynomial bound on the resolvent holds, the scattering amplitude is a sem…
Structure of the Semi-Classical Amplitude for General Scattering Relations
Ivana Alexandrova
We consider scattering by general compactly supported semi-classical perturbations of the Euclidean Laplace-Beltrami operator. We show that if the suitably cut-off resolvent of the…
Semi-Classical Wavefront Set and Fourier Integral Operators
Ivana Alexandrova
We define and prove some properties of the semi-classical wavefront set. We also define and study semi-classical Fourier integral operators, of which we give a complete characteriz…