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81-XX Quantum theory
81Qxx General mathematical topics and methods in quantum theory
81Q99 None of the above, but in this section

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Définition de l'intégrale de Feynman et processus à sauts

Ph. Combe, R. Rodriguez, M. Sirugue, M. Sirugue-Collin (1982)

Recherche Coopérative sur Programme n°25

Derivation of Hartree’s theory for mean-field Bose gases

Mathieu Lewin (2013)

Journées Équations aux dérivées partielles

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 $N$ bosons with an interaction of intensity $1 / N$ (mean-field regime). In the limit $N \to \infty$ , 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.

Ruffing, Andreas (2000)

Discrete Dynamics in Nature and Society

Currently displaying 1 – 3 of 3

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