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NUMERICAL SIMULATION DEVICE OF TIME DEPENDENT SCHRODINGER EQUATION

机译:时间相关的薛定DING方程的数值模拟装置

摘要

A numerical simulation device is provided for making it possible to execute a high speed and high accurate numerical simulation with a reduced calculation amount. A numerical simulation device (100), which executes a numerical simulation using a wave function that is a solution of the time dependent Schrodinger equation, is provided with a real time developing arithmetic operation unit (106) for carrying out an arithmetic operation of a wave function of the second kind while developing the wave function for a predetermined period of time from the initial time, wherein the wave function of the second kind is obtained by applying a central difference approximation in the real space difference method for a wave function of the first kind expressed by means of a propagator and is expressed by means of Bessel function, and an arithmetic operation result memory unit (108) for storing the arithmetic operation result of the wave function of the second kind at each time obtained while developing in the real time developing arithmetic operation unit (106) for each predetermined period of time.
机译:提供一种数值模拟装置,以使得可以以减少的计算量执行高速和高精度的数值模拟。数值模拟装置(100),其使用作为与时间有关的薛定inger方程的解的波动函数来执行数值模拟,并设有实时展开算术运算单元(106),用于执行波动的算术运算。在从初始时间开始的预定时间段内展开波动函数的同时,利用第二种函数,其中第二种波动函数是通过在实空间差分方法中对第一阶波动函数应用中心差近似而获得的通过传播器表示的,通过贝塞尔函数表示的一种,以及一种算术运算结果存储单元(108),用于存储在实时显影时每次获得的第二种波动函数的算术运算结果显影算术运算单元(106)在每个预定时间段内。

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