8 citations · 15 across the 4 of their papers we have counts for
4 papers
Semiclassical Simple Initial Value Representations
Vidian Rousse
In this article, a class of Fourier Integral Operators which converge to the unitary group of the Schrödinger equation in semiclassical limit is constructed. The convergen…
Semi-classical analysis of a conjoint crossing of three symmetric modes
Clotilde Fermanian-Kammerer, Vidian Rousse
In this article we focus on a semiclassical Schrödinger equation with matrix-valued potential presenting a symmetric conjoint crossing of three eigenvalues. The potential we consid…
A Mathematical Justification for the Herman-Kluk Propagator
Torben Swart, Vidian Rousse
A class of Fourier Integral Operators which converge to the unitary group of the Schroedinger equation in semiclassical limit $\eps\to 0$ is constructed. The convergence is in the…
Global L2-Boundedness Theorems for Semiclassical Fourier Integral Operators with Complex Phase
Vidian Rousse, Torben Swart
In this work, a class of semiclassical Fourier Integral Operators (FIOs) with complex phase associated to some canonical transformation of the phase space is constructed.…