129 citations · 510 across the 51 of their papers we have counts for
4 papers · 1 filter
Rayleigh-Schrödinger series and Birkhoff decomposition
Jean-Christophe Novelli, Thierry Paul, David Sauzin +1
We derive new expressions for the Rayleigh-Schrödinger seriesdescribing the perturbation of eigenvalues of quantumHamiltonians. The method, somehow close to the so-called dimension…
Normalization in Banach scale Lie algebras via mould calculus and applications
Thierry Paul, David Sauzin
We study a perturbative scheme for normalization problems involving resonances of the unperturbed situation, and therefore the necessity of a non-trivial normal form, in the genera…
On the derivation of the Hartree equation in the mean field limit: Uniformity in the Planck constant
François Golse, Thierry Paul, Mario Pulvirenti +3
In this paper the Hartree equation is derived from the -body Schr\''odinger equation in the mean-field limit, with convergence rate estimates that are uniform in the Planck cons…
Normalization in Lie algebras via mould calculus and applications
Thierry Paul, David Sauzin
We establish Ecalle's mould calculus in an abstract Lie-theoretic setting and use it to solve a normalization problem, which covers several formal normal form problems in the theor…