Skip navigation

상단메뉴

글로벌메뉴

좌측메뉴

학술행사

검색

Seminars

Seminar
FIELD Math:Analysis
DATE March 04 (Thu), 2021
TIME 16:00-18:00
PLACE Online
SPEAKER Nam, Phan Thanh
HOST Lee, Jinyeop
INSTITUTE LMU Munich
TITLE Derivation of the Gross-Pitaevskii equation for dilute Bose gases
ABSTRACT We study a dilute Bose gas in a scaling limit where the Gross-Pitaevskii functional emerges. The derivation of the Bose-Einstein condensation in this case was first proved by Elliott H. Lieb and Robert Seiringer in 2002. In this talk, I will represent an alternative proof, which is based on (1) a combination of Dyson's lemma, (2) the quantum de Finetti theorem, and (3) a second moment estimate for ground states of the effective Dyson Hamiltonian. The proof applies equally well to the case where magnetic fields or rotation are present. This is joint work with Nicolas Rougerie and Robert Seiringer.
FILE  
  • list

date

~