14 citations · 14 across the 3 of their papers we have counts for
3 papers
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…
Effective mass theorems with Bloch modes crossings
Victor Chabu, Clotilde Fermanian Kammerer, Fabricio Macià
We study a Schr{ö}dinger equation modeling the dynamics of an electron in a crystal in the asymptotic regime of small wavelength comparable to the characteristic scale of the cryst…
An Egorov Theorem for avoided crossings of eigenvalue surfaces
Clotilde Fermanian Kammerer, Caroline Lasser
We study nuclear propagation through avoided crossings of electron energy levels. We construct a surface hopping semigroup, which gives an Egorov-type description of the dynamics.…