Composite Coherent States Approximation for One-Dimensional Multi-Phased Wave Functions
作者机构：Department of Mathematical SciencesTsinghua UniversityBeijing100084P.R.China
出 版 物：《Communications in Computational Physics》 (计算物理通讯（英文）)
年 卷 期：2012年第11卷第3期
页 面：951-984页
核心收录：
学科分类：07[理学] 0704[理学-天文学] 0701[理学-数学] 0702[理学-物理学] 070101[理学-基础数学]
基 金：The authors thank Prof.Shi Jin for introducing this research project to them.They are also grateful to Prof.Xuguang Lu for the helpful discussion on asymptotic analysis,and the anonymous referees for their valuable constructive suggestions.D.Yin was supported by the National Natural Science Foundation of China under Grant No.10901091 C.Zheng was supported by the National Natural Science Foundation of China under Grant No.10971115
主 题：Coherent state high frequency windowed Fourier transform
摘 要：The coherent states approximation for one-dimensional multi-phased wave functions is considered in this *** wave functions are assumed to oscillate on a characteristic wave length O(∈)withǫ≪1.A parameter recovery algorithm is first developed for single-phased wave function based on a moment asymptotic *** algorithm is then extended to multi-phased wave *** cross points or caustics exist,the coherent states approximation algorithm based on the parameter recovery will fail in some local *** this case,we resort to the windowed Fourier transform technique,and propose a composite coherent states approximation *** experiments show that the number of coherent states derived by the proposedmethod is much less than that by the directwindowed Fourier transform technique.
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