Fourth-order factorization of the evolution operator for time-dependent potentials

Baye D.; Goldstein G.; Capel P.

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Fourth-order factorization of the evolution operator for time-dependent potentials

机译：随时间变化的势的演化算子的四阶分解

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A unitary factorization of the evolution operator at order four is derived from the Magnus expansion with a time-dependent potential. Its efficiency is tested on various mesh treatments of a forced harmonic oscillator. With respect to second order, accuracies are improved by more than an order of magnitude. (C) 2003 Elsevier B.V. All rights reserved. [References: 31]

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《Physics Letters, A》 |2003年第6期|共6页
作者
Baye D.; Goldstein G.; Capel P.;
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正文语种 eng
中图分类物理学;
关键词
Evolution operator; Time-dependent potential; Exponential factorization; Lagrange mesh; Many-body theories; Schrodinger-equation; Exponential operators; Splitting methods; Decomposition; Physics;

机译：演化算子;时变势;指数分解;拉格朗日网格;多体理论;薛定inger方程;指数算子;分解方法;分解;物理;

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1. Fourth-order factorization of the evolution operator for time-dependent potentials [J] . Baye D., Goldstein G., Capel P. Physics Letters, A . 2003,第5a6期

机译：随时间变化的势的演化算子的四阶分解
2. Parametric Factorizations of Second-, Third- and Fourth-Order Linear Partial Differential Operators with a Completely Factorable Symbol on the Plane [J] . Ekaterina Shemyakova Mathematics in Computer Science . 2007,第2期

机译：平面上具有完全可分解符号的二阶，三阶和四阶线性偏微分算子的参数分解
3. Time-dependent formulation of the Bogoliubov transformation and time-evolution operators for time-dependent quantum oscillators [J] . Liu WS., Li XP. EPL . 2002,第5期

机译：Bogoliubov变换的时间依赖公式和时间依赖量子振荡器的时间演化算子
4. Semi-discrete Time-Dependent Fourth-Order Problems on an Interval: Error Estimate [C] . Dalia Fishelov European conference on numberical mathematiocs and advanced applications . 2015

机译：区间上的半离散时间相关的四阶问题：误差估计
5. Eigenvalue asymptotics for self-adjoint, fourth-order, ordinary differential operators [D] . Schueller, Albert William, III 1996

机译：自伴四阶常微分算子的特征值渐近性
6. High Order Split Operators for the Time-Dependent Wavepacket method of Triatomic Reactive Scattering in Hyperspherical Coordinates [O] . Umair Umer, Hailin Zhao, Syed Kazim Usman, 2019

机译：高阶分开运营商用于超球坐标中的三语反应散射的时间依赖性波波皮耦合方法
7. Parametric Factorizations of Second-, Third- and Fourth-Order Linear Partial Differential Operators with a Completely Factorable Symbol on the Plane [O] . Shemyakova, Ekaterina 2010

机译：二阶，三阶和四阶线性系统的参数化因子分解具有完全可因子符号的偏微分算子平面

Fourth-order factorization of the evolution operator for time-dependent potentials

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