Définition de l'intégrale de Feynman et processus à sauts
Derivation of Hartree’s theory for mean-field Bose gases
This article is a review of recent results with Phan Thành Nam, Nicolas Rougerie, Sylvia Serfaty and Jan Philip Solovej. We consider a system of bosons with an interaction of intensity (mean-field regime). In the limit , we prove that the first order in the expansion of the eigenvalues of the many-particle Hamiltonian is given by the nonlinear Hartree theory, whereas the next order is predicted by the Bogoliubov Hamiltonian. We also discuss the occurrence of Bose-Einstein condensation in these...
Discretized representations of harmonic variables by bilateral Jacobi operators.