Magnus-factorized method for numerical solving the time-dependent Schrodinger equation

I. V. Puzynin; A. V. Selin; S. I. Vinitsky

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Magnus-factorized method for numerical solving the time-dependent Schrodinger equation

机译：数值求解时间依赖性Schrodinger方程的数质分解方法

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摘要

The method of constructing the high-order stable operator-difference schemes for solving the time-dependent Schrodinger equation are proposed as a generalization of the Crank-Nicolson scheme. The schemes are constructed in terms of the Magnus expansion for the evolution operator. The case of the non-homogeneous equation is also considered.

机译：建议构造用于解决时间依赖性Schrodinger方程的高阶稳定操作差方案的方法作为曲柄 - 尼古尔森方案的概括。该方案是以演化运营商的大膨胀而构建的。还考虑了非均匀方程的情况。

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来源
《Computer physics communications》 |2000年第2期|共4页
作者
I. V. Puzynin; A. V. Selin; S. I. Vinitsky;
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作者单位

Laboratory of Computing Techniques and Automation Joint Institute for Nuclear Research 141980 Dubna Russia;

Laboratory of Computing Techniques and Automation Joint Institute for Nuclear Research 141980 Dubna Russia;

Bogoliubov Laboratory of Theoretical Physics Joint Institute for Nuclear Research 141980 Dubna Russia;

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原文格式 PDF
正文语种 eng
中图分类计算机的应用;
关键词
Magnus expansion; wave propagation; Crank-Nicolson scheme;

机译：马格努斯扩张;波传播;曲柄 - 尼古尔森方案;

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机译：数值求解时间依赖性Schrodinger方程的数质分解方法
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Magnus-factorized method for numerical solving the time-dependent Schrodinger equation

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