开放和封闭量子系统时间演化的多项式方案
Polynomial scheme for time evolution of open and closed quantum systems
摘要：
基于Laguerre多项式的母函数，提出了一种新的Laguerre多项式展开格式，用于计算含时薛定谔方程的演化.理论分析和数值试验表明，该方法在效率和精度上与Chebyshev多项式展开法相当，且不需要对Hamilton函数进行标度，适用范围更广。
英文摘要：
Based on the generation function of Laguerre polynomials, We proposed a new Laguerre polynomial expansion scheme in the calculation of evolution of time dependent Schrödinger equation. Theoretical analysis and numerical test show that the method is equally as good as Chebyshev polynomial expansion method in efficiency and accuracy, with extra merits that no scaling to Hamiltonian is needed and wider suitability.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
