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首页> 外文期刊>SIAM Journal on Numerical Analysis >Numerical solution of the Schrodinger equation in a wavelet basis for hydrogen-like atoms
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Numerical solution of the Schrodinger equation in a wavelet basis for hydrogen-like atoms

机译:类氢原子的小波薛定方程的数值解

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摘要

An iterative method is proposed to solve the Schrodinger eigenvalue problem in a wavelet framework. Orthonormal wavelets are used to represent the corresponding operator as a sparse band matrix. This representation, called the nonstandard (NS) form, is obtained by means of the Beylkin-Coifman-Rokhlin (BCR) algorithm and simplifies the numerical calculations. Problems due to the one-dimensional mathematical model and to the discretization process receive special attention. [References: 31]
机译:提出了一种迭代方法来解决小波框架中的薛定inger特征值问题。正交小波用于表示对应的算子为稀疏带矩阵。这种表示形式称为非标准(NS)形式,是通过Beylkin-Coifman-Rokhlin(BCR)算法获得的,并简化了数值计算。由于一维数学模型和离散化过程而引起的问题受到特别关注。 [参考:31]

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