Bogoliubov spectrum of interacting Bose gases
Duration: 40 mins 22 secs
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About this item
| Description: |
Nam, PT (Université de Cergy-Pontoise)
Thursday 02 August 2012, 11:00-11:45 |
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| Created: | 2012-08-15 13:03 |
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| Collection: | Spectral Theory of Relativistic Operators |
| Publisher: | Isaac Newton Institute |
| Copyright: | Nam, PT |
| Language: | eng (English) |
| Distribution: |
World
(downloadable)
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| Explicit content: | No |
| Aspect Ratio: | 16:9 |
| Screencast: | No |
| Bumper: | UCS Default |
| Trailer: | UCS Default |
| Abstract: | 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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