SEMICLASSICAL LIMIT OF NONLINEAR SCHRODINGER EQUATION (Ⅱ)

• 来源期刊: 偏微分方程（英文版）
• 学科: 数学
• 关键词: Schrodinger compressible Euler Wigner transformation Wigner Measure.
• 年，卷（期）: 2002,（2）
• 页码范围: 83-96
• 页数: 14页
• 分类号: O175.24
• 语种: 英文

摘要

In this paper, we use the Wigner measure approach to study the semiclassical limit of nonlinear Schrodinger equation in small time. We prove that: the limits of the quantum density: pε =: |ψε|2, and the quantum momentum: Jε =: εIm(ψεψε) satisfy the compressible Euler equations before the formation of singularities in the limit system.