摘要
基于灰色系统理论,对波包分布进行GM(1,1)模型时间响应函数替换,通过变分法等数学技术得到波包波函数的模拟演化行为,并进行误差分析和修正。在实际应用中,只需要对其发展系数参量进行确定,就能较好地得到波函数的近似演化行为。以高斯型波包为例,将数学建模中的灰色系统理论引入物理学的计算当中,提供了一种近似计算方法,在涉及波包演化的计算中可得到应用。
Based on the grey system theory,we replace the time response function of GM(1,1)model for wave packet distribution,and obtain simulated evolution behavior of wave packet’s wave function with mathematical techniques such as variational method,and make error analysis and correction.In practical applications,the approximate evolution behavior of wave function can be obtained with parameters of its development coefficient.Gaussian wave packet is taken as an example to show the method.The grey system theory in mathematical modeling is introduced into the calculation of physics,and an approximate calculation method is provided,which can be used in the calculation of wave packet evolution.
作者
倪嘉雨
高德宏
叶林峰
冯向东
NI Jiayu;GAO Dehong;YE Linfeng;FENG Xiangdong(Department of Nuclear Engineering and New Energy Technology,College of Engineering and Technology of CDUT,Leshan,Sichuan 614000,China;Basic Teaching Department,College of Engineering and Technology of CDUT,Leshan,Sichuan 614000,China)
出处
《计算物理》
CSCD
北大核心
2022年第2期201-211,共11页
Chinese Journal of Computational Physics
基金
成都理工大学工程技术学院苗子工程项目(C232020035)资助。
关键词
波包
演化
灰色系统
数学建模
wave packet
evolution
grey system
mathematical modeling
