100 citations · 371 across the 19 of their papers we have counts for
22 papers
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…
When Poisson and Moyal Brackets are equal?
Didier Robert
In the phase space , let us denote the Poisson bracket of two smooth classical observables and their Moyal bracket, defined as the Weyl s…
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…
Growth of Sobolev norms for abstract linear Schrödinger Equations
Dario Bambusi, Benoit Grébert, Alberto Maspero +1
We prove an abstract theorem giving a bound () on the growth of the Sobolev norms in linear Schrödinger equations of the form $i \dot ψ= H_0 ψ+ V(…
Reducibility of the Quantum Harmonic Oscillator in -dimensions with Polynomial Time Dependent Perturbation
Dario Bambusi, Benoit Grebert, Alberto Maspero +1
We prove a reducibility result for a quantum harmonic oscillator in arbitrary dimensions with arbitrary frequencies perturbed by a linear operator which is a polynomial of degree t…