GENERAL-THEORY OF HIGHER-ORDER DECOMPOSITION OF EXPONENTIAL OPERATORS AND SYMPLECTIC INTEGRATORS

被引：215

作者：

SUZUKI, M

机构：

[1] Department of Physics, Faculty of Science, University of Tokyo, Bunkyo-ku, Tokyo

来源：

PHYSICS LETTERS A | 1992年 / 165卷 / 5-6期

关键词：

D O I：

10.1016/0375-9601(92)90335-J

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A general scheme for a higher-order decomposition of exponential operators and symplectic integrators is constructed and its mathematical structure is clarified using the free Lie algebra and the associated Witt formula. The minimal form of the decomposition is found, and the number of its minimal products is given generally using the Mobius function. An infinite number of recursive schemes are also proposed.

引用

页码：387 / 395

页数：9

共 22 条

[1] IMPROVED EXPONENTIAL SPLIT OPERATOR METHOD FOR SOLVING THE TIME-DEPENDENT SCHRODINGER-EQUATION [J].