Polynomial scheme for time evolution of open and closed quantum systems.
Polynomial scheme for time evolution of open and closed quantum systems.
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DOI：
10.1103/physreve.75.016701
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发表时间：
2006-11
期刊：
影响因子：
--
通讯作者：
J. Jing;Hongru Ma
中科院分区：
文献类型：
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作者：
J. Jing;Hongru Ma
基于Laguerre多项式的母函数，我们提出了一种计算含时薛定谔方程演化的Laguerre多项式展开格式。理论分析和数值试验表明，该方法在效率和准确性上与切比雪夫多项式展开法相当，且具有无需对哈密尔顿函数进行标度、适用性更广的优点。
Based on the generating function of Laguerre polynomials, we propose a Laguerre polynomial expansion scheme in the calculation of the evolution of the time-dependent Schrödinger equation. Theoretical analysis and numerical tests show that the method is equally as good as the Chebyshev polynomial expansion method in efficiency and accuracy, with the additional merits that no scaling to the Hamiltonian is needed and it has wider suitability.