19 citations · 132 across the 18 of their papers we have counts for
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Optimal Semiclassical Regularity of Projection Operators and Strong Weyl Law
Laurent Lafleche
Projection operators arise naturally as one-particle density operators associated to Slater determinants in fields such as quantum mechanics and the study of determinantal processe…
On Quantum Sobolev Inequalities
Laurent Lafleche
We investigate the quantum analogue of the classical Sobolev inequalities in the phase space, with the quantum Sobolev norms defined in terms of Schatten norms of commutators. Thes…
On the semiclassical regularity of thermal equilibria
Jacky J. Chong, Laurent Lafleche, Chiara Saffirio
We study the regularity properties of fermionic equilibrium states at finite positive temperature and show that they satisfy certain semiclassical bounds. As a corollary, we identi…
Strong semiclassical limit from Hartree and Hartree-Fock to Vlasov-Poisson equation
Laurent Lafleche, Chiara Saffirio
We consider the semiclassical limit from the Hartree to the Vlasov equation with general singular interaction potential including the Coulomb and gravitational interactions, and we…