MAXIMAL REDUCTIONS IN THE BAKER-HAUSDORFF FORMULA

被引：12

作者：

KOLSRUD, M

机构：

[1] Department of Physics, University of Oslo, N-0316 Oslo 3, Blindern

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 1993年 / 34卷 / 01期

关键词：

D O I：

10.1063/1.530381

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A preliminary expression for the Baker-Hausdorff formula is found up to ninth order, i.e., a series expansion of z in terms of multiple commutators, where e(z)=e(x)e(y) with x and y noncommuting, up to ninth degree in x,y. By means of complete sets of linear relations between multiple commutators maximal reduction of the number of different multiple commutators in the series are obtained.

引用

页码：270 / 285

页数：16

共 4 条

[1] PROPERTIES OF HIGHER-ORDER COMMUTATOR PRODUCTS AND BAKER-HAUSDORFF FORMULA [J].