27 citations · 103 across the 17 of their papers we have counts for
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Strong and weak semiclassical limits for some rough Hamiltonians
Agissilaos Athanassoulis, Thierry Paul
We present several results concerning the semiclassical limit of the time dependent Schrödinger equation with potentials whose regularity doesn't guarantee the uniqueness of the un…
Semiclassical Propagation of Coherent States for the Hartree equation
Agissilaos Athanassoulis, Thierry Paul, Federica Pezzotti +1
In this paper we consider the nonlinear Hartree equation in presence of a given external potential, for an initial coherent state. Under suitable smoothness assumptions, we approxi…
Strong Semiclassical Approximation of Wigner Functions for the Hartree Dynamics
A. Athanassoulis, T. Paul, F. Pezzotti +1
We consider the Wigner equation corresponding to a nonlinear Schroedinger evolution of the Hartree type in the semiclassical limit . Under appropriate assumptions on th…
Smoothed Affine Wigner Transform
Agissilaos Athanassoulis, Thierry Paul
We study a generalization of Husimi function in the context of wavelets. This leads to a nonnegative density on phase-space for which we compute the evolution equation correspondin…
Strong phase-space semiclassical asymptotics
Agissilaos Athanassoulis, Thierry Paul
Wigner and Husimi transforms have long been used for the phase-space reformulation of Schrödinger-type equations, and the study of the corresponding semiclassical limits. Most of t…