101 citations · 339 across the 25 of their papers we have counts for
7 papers · 1 filter
Asymptotic initial value representation of the solutions of semi-classical systems presenting smooth codimension one crossings
Clotilde Fermanian Kammerer, Caroline Lasser, Didier Robert
This paper is devoted to the construction of approximations of the propagator associated with a semi-classical matrix-valued Schrödinger operator with symbol presenting smooth eige…
On the Cauchy problem for the Hartree approximation in quantum dynamics
Rémi Carles, Clotilde Fermanian Kammerer, Caroline Lasser
We prove existence and uniqueness results for the time-dependent Hartree approximation arising in quantum dynamics. The Hartree equations of motion form a coupled system of nonline…
Separation of scales: Dynamical approximations for composite quantum systems
Irene Burghardt, Rémi Carles, Clotilde Fermanian Kammerer +2
We consider composite quantum-dynamical systems that can be partitioned into weakly interacting subsystems, similar to system-bath type situations. Using a factorized wave function…
Adiabatic and non-adiabatic evolution of wave packets and applications to initial value representations
Clotilde Kammerer, Caroline Lasser, Didier Robert
We review some recent results obtained for the time evolution of wave packets for systems of equations of pseudo-differential type, including Schr{ö}dinger ones, and discuss their…
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…
Wigner Measure Propagation and Conical Singularity for General Initial Data
Clotilde Fermanian-Kammerer, Patrick Gérard, Caroline Lasser
We study the evolution of Wigner measures of a family of solutions of a Schrödinger equation with a scalar potential displaying a conical singularity. Under a genericity assumption…