27 citations · 103 across the 17 of their papers we have counts for
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math.AP2010★ 14 cited
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…
math.AP2010★ 2 cited
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…
math.AP2010★ 18 cited
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…