SEMICLASSICAL LIMIT OF NONLINEAR SCHROEDINGER EQUATION（Ⅱ）  

作　　者：张平 

机构地区：[1]AcademyofMathematicsandSystemSciences,TheChineseAcadmyofSciences,Bijing100080,China

出　　处：《Journal of Partial Differential Equations》2002年第2期83-96,共14页偏微分方程（英文版）

摘　　要：In this paper,we use the Wigner meaure approach to study the semiclassical limit of nonlinear Schroedinger equation in small time.We prove that:the linits of the quantum density:ρ^ε=:|ψ^ε|^2,and the quantum momentum:J^ε=:εIm(-↑ψ^ε↓△ψ^ε）satisfy the compressible Euler equations before the formation of singularities in the limit system.

关 键 词：非线性SCHROEDINGER方程 半经典极限 Wigner测度 可压缩EULER方程 奇异性 量子 全局解 

分 类 号：O175.24[理学—数学] O175[理学—基础数学]