Coupling of Gaussian Beam and Finite Difference Solvers for Semiclassical Schrodinger Equations
作者机构：Division of Scientific ComputingDepartment of Information TechnologyUppsala UniversitySweden Department of Mathematics and Swedish e-Science Research Center(SeRC)KTHSweden
出 版 物：《Advances in Applied Mathematics and Mechanics》 (应用数学与力学进展（英文）)
年 卷 期：2015年第7卷第6期
页 面：687-714页
核心收录：
学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学]
主 题：Gaussian beams semiclassical Schrodinger equation hybrid methods
摘 要：In the semiclassical regime,solutions to the time-dependent Schrodinger equation for molecular dynamics are highly *** number of grid points required for resolving the oscillations may become very large even for simple model problems,making solution on a grid *** methods like Gaussian beams can resolve the oscillations with little effort and yield good approximations when the atomic nuclei are heavy and the potential is ***,when the potential has variations on a small length-scale,quantum phenomena become *** asymptotic methods are less *** two classes of methods perform well in different parameter *** opens for hybrid methods,using Gaussian beams where we can and finite differences where we have *** propose a new method for treating the coupling between the finite difference method and Gaussian *** new method reduces the needed amount of overlap regions considerably compared to previous methods,which improves the efficiency.
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