On Time Evolution of Nonlinear Random Schrodinger Equation

非线性随机薛定谔方程的时间演化

• 批准号: 0503563
• 负责人: Wei-Min Wang
• 金额: $ 9万
• 依托单位: University of Massachusetts Amherst
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2005
• 资助国家: 美国
• 起止时间: 2005-09-15 至 2008-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0503563&HistoricalAwards=false
• 关键词: Time; Evolution; Nonlinear; Random; Schrodinger

On Time Evolution of Nonlinear Random Schroedinger Equations.Wei-Min Wang University of Massachusetts, Amherst. AbstractThis research project is to study the long time behavior of solutions of nonlinear Schroedinger equations. The potential may be either random or deterministic and close to a harmonic oscillator. In both cases the analysis is done in all of space and the linear equation is assumed to only have bound states. These equations are fundamental for quantum mechanics. It is expected that the results obtained here may have applications to the design of memory chips, in fiber optics and for quadrupole radio-frequency traps.

关于非线性随机薛定谔方程的时间演化。王伟民，马萨诸塞州，阿默斯特。本文研究非线性Schroedinger方程解的长时间行为。电势可以是随机的，也可以是确定性的，并且接近于谐振子。在这两种情况下，分析都是在整个空间中进行的，并且线性方程假设只有束缚态。 这些方程是量子力学的基础。预计这里获得的结果可能有应用程序的存储器芯片的设计，在光纤和四极射频陷阱。