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Bogoliubov spectrum of interacting Bose gases

Presented by: 
PT Nam Université de Cergy-Pontoise
Thursday 2nd August 2012 - 11:00 to 11:45
INI Seminar Room 1
We prove that Bogoliubov theory indeed predicts the ground state energy and the excitation spectrum of a very general class of interacting Boses gases. More precisely, we will show that the lower spectrum of the N-body Hamiltonian, in the limit as N tends to infinity, by the spectrum of a quadratic Hamiltonian in Fock space, which is the so-called Bogoliubov Hamiltonian. Such kind of result was already obtained for weakly interacting Bose gases by Seiringer and Grech. Our method is different and it works for a larger class of interactions. This is joint work with M. Lewin, S. Serfaty, and J. P. Solovej
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Presentation Material: 
University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons