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.

非线性随机施罗丁格方程的时代演变。马萨诸塞州王王，阿默斯特。摘要这项研究项目是研究非线性Schroedinger方程解决方案的长时间行为。电势可以是随机或确定性的，并且接近谐波振荡器。在这两种情况下，分析均在所有空间中进行，并且假定线性方程仅具有结合状态。 这些方程对于量子力学是基本的。可以预期，此处获得的结果可能会应用于内存芯片，光纤和四极型射频陷阱的应用。