DERIVATION OF EFFECTIVE EVOLUTION EQUATIONS FROM MANY BODY QUANTUM DYNAMICS

被引:1
作者
Schlein, Benjamin [1 ]
机构
[1] Univ Cambridge, DPMMS, Cambridge CB3 0WB, England
来源
XVITH INTERNATIONAL CONGRESS ON MATHEMATICAL PHYSICS | 2010年
关键词
Mean field systems; Hartree equation; Bose-Einstein condensates; Gross-Pitaevskii equation; CLASSICAL FIELD LIMIT; SCATTERING THEORY; BOSON SYSTEMS;
D O I
10.1142/9789814304634_0031
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We review some recent results concerning the derivation of effective evolution equations from first principle quantum dynamics. In particular, we discus S the derivation of the Hartree equation for mean field systems and the derivation of the Gross-Pitaevskii equation for the time evolution of Bose-Einstein condensates.
引用
收藏
页码:406 / 416
页数:11
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