35 citations · 109 across the 16 of their papers we have counts for
16 papers
Propagation of Wave Packets for Systems Presenting Codimension 1 Crossings
Clotilde Fermanian-Kammerer, Caroline Lasser, Didier Robert
We analyze the propagation of coherent states through general systems of pseudodifferential form associated with Hamiltonian presenting codimension one eigen-value crossings. In pa…
Quantum Evolution And Sub-laplacian Operators On Groups Of Heisenberg Type
Clotilde Fermanian-Kammerer, Véronique Fischer
In this paper we analyze the evolution of the time averaged energy densities associated with a family of solutions to a Schr{ö}dinger equation on a Lie group of Heisenberg type. We…
Semiclassical analysis of dispersion phenomena
Victor Chabu, Clotilde Fermanian-Kammerer, Fabricio Macià
Our aim in this work is to give some quantitative insight on the dispersive effects exhibited by solutions of a semiclassical Schr{ö}dinger-type equation in R d. We describe quanti…
Wigner measures and effective mass theorems
Victor Chabu, Clotilde Fermanian-Kammerer, Fabricio Macià
We study a semi-classical Schr{ö}dinger equation which describes the dynamics of an electron in a crystal in the presence of impurities. It is well-known that under suitable assump…
Defect measures on graded lie groups
Véronique Fischer, Clotilde Fermanian-Kammerer
In this article, we define a generalisation of microlocal defect measures (also known as H-measures) to the setting of graded nilpotent Lie groups. This requires to develop the not…
Semiclassical Completely Integrable Systems : Long-Time Dynamics And Observability Via Two-Microlocal Wigner Measures
Nalini Anantharaman, Clotilde Fermanian Kammerer, Fabricio Macià
We look at the long-time behaviour of solutions to a semi-classical Schrödinger equation on the torus. We consider time scales which go to infinity when the semi-classical paramete…