97 citations · 119 across the 17 of their papers we have counts for
4 papers · 1 filter
Time Dependent Quantum Perturbations Uniform in the Semiclassical Regime
François Golse, Thierry Paul
We present a time dependent quantum perturbation result, uniform in the Planck constant, for perturbations of potentials whose gradients are Lipschitz continuous by potentials whos…
Quantum and Semiquantum Pseudometrics and Applications
François Golse, Thierry Paul
We establish a Kantorovich duality for the pseudometric introduced in [F. Golse, T. Paul, Arch. Rational Mech. Anal. 223 (2017), 57--94], obtained from the usua…
Observability for the Schrödinger Equation: an Optimal Transport Approach
François Golse, Thierry Paul
We establish an observation inequality for the Schrödinger equation on , uniform in the Planck constant . The proof is based on the pseudometric introd…
Towards Optimal Transport for Quantum Densities
Emanuele Caglioti, François Golse, Thierry Paul
An analogue of the quadratic Wasserstein (or Monge-Kantorovich) distance between Borel probability measures on has been defined in [F. Golse, C. Mouhot, T. Paul: Com…