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CPM {P, N} methods extended for the solution of coupled channel Schrodinger equations

机译:CPM {P,N}方法扩展用于耦合通道Schrodinger方程的求解

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摘要

The successful CPM(P, N) methods for the one-dimensional time-independent Schrodinger problem are generalized to the coupled channel case. The derivation of the formulae is discussed and a MAPLE program code is included which allows to determine the analytic expressions of the perturbation corrections needed to construct methods of different orders. Some numerical illustrations are given showing the accuracy, the robustness and the CPU-time gain of the proposed algorithms over the sixth order LILIX method which was presented in [L.Gr. Ixaru, LILIX-A package for the solution of the coupled channel Schrodinger equation, Comput. Phys. Comm. 147 (2002) 834-852]. (c) 2005 Elsevier B.V. All rights reserved.
机译:一维与时间无关的薛定inger问题的成功CPM(P,N)方法被推广到耦合通道情况。讨论了公式的推导过程,并包括一个MAPLE程序代码,该代码可确定构造不同阶次方法所需的扰动校正的解析表达式。给出了一些数字图示,它们显示了所提出的算法相对于[L.Gr.]中提出的六阶LILIX方法的准确性,鲁棒性和CPU时间增益。 Ixaru,LILIX-A软件包,用于耦合通道Schrodinger方程Comput的求解。物理通讯147(2002)834-852]。 (c)2005 Elsevier B.V.保留所有权利。

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