ncku-talk2015-11-06

RCTS Analysis Seminar

DATE 2015-11-06　15:10-16:00

PLACE 數學館 3 樓會議室

SPEAKER 陳旭文教授（美國羅徹斯特大學）

TITLE The Rigorous Derivation of Focusing NLS from Quantum Many-Body Evolutions

ABSTRACT The rigorous justification of mean-field type equations (Boltzmann, Vlasov-Poisson, NLS...) from the many-body systems they are supposed to describe is a vast and fundamental subject. In this talk, we talk about recent advances in this area on the derivation of focusing nonlinear Schrodinger equations (NLS) from quantum many-body evolutions in the context of Bose-Einstein condensation, which has been one of the most active areas of contemporary research since the Nobel prize winning experiments. We survey the background and the evolution of the results and techniques in the field during the talk.

RCTS Analysis Seminar

DATE	2015-11-06　15:10-16:00

PLACE	數學館 3 樓會議室

SPEAKER	陳旭文教授（美國羅徹斯特大學）

TITLE	The Rigorous Derivation of Focusing NLS from Quantum Many-Body Evolutions

ABSTRACT	The rigorous justification of mean-field type equations (Boltzmann, Vlasov-Poisson, NLS...) from the many-body systems they are supposed to describe is a vast and fundamental subject. In this talk, we talk about recent advances in this area on the derivation of focusing nonlinear Schrodinger equations (NLS) from quantum many-body evolutions in the context of Bose-Einstein condensation, which has been one of the most active areas of contemporary research since the Nobel prize winning experiments. We survey the background and the evolution of the results and techniques in the field during the talk.