Splitting methods for the time-dependent Schrodinger equation

被引：54

作者：

Blanes, S

Moan, PC ^{[1
]}

机构：

[1] Univ Cambridge, DAMTP, Cambridge CB3 9EW, England

[2] Univ Jaume 1, Dept Matemat, Castellon de La Plana 12071, Spain

来源：

PHYSICS LETTERS A | 2000年 / 265卷 / 1-2期

关键词：

time-dependent Schrodinger equation; time-dependent Hamiltonian; splitting methods; Magnus expansion; symplectic; lie series;

D O I：

10.1016/S0375-9601(99)00866-X

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Cheap and easy to implement fourth-order methods for the Schrodinger equation with time-dependent Hamiltonians are introduced. The methods require evaluations of exponentials of simple unidimensional integrals, and can be considered an averaging technique, preserving many of the qualitative properties of the exact solution. (C) 2000 Published by Elsevier Science B.V. All rights reserved.

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页码：35 / 42

页数：8

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