상단메뉴
글로벌메뉴
좌측메뉴
검색
| FIELD | Math:Analysis |
|---|---|
| DATE | March 03 (Wed), 2021 |
| TIME | 16:00-18:00 |
| PLACE | Online |
| SPEAKER | Nam, Phan Thanh |
| HOST | Lee, Jinyeop |
| INSTITUTE | LMU Munich |
| TITLE | Bogoliubov theory of the excitation spectrum |
| ABSTRACT | We study Bogoliubov’s correction to Hartree’s theory of an interacting Bose gas in the mean-field regime. We show that if the Bose-Einstein condensate exists and non-degenerate, then the excited particles can be effectively described by a quadratic Hamiltonian on Fock space which is exactly the quantization of the Hessian of the Hartree energy functional. This leads to a rigorous formula for the excitation spectrum of the interacting Bose gases. |
| FILE |
