PROPERTIES OF HIGHER-ORDER COMMUTATOR PRODUCTS AND BAKER-HAUSDORFF FORMULA

被引：18

作者：

ERIKSEN, E

机构：

[1] Institute of Physics, University of Oslo, Blindern

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 1968年 / 9卷 / 05期

关键词：

D O I：

10.1063/1.1664643

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The element z = log eχeυ, which is known to be an element of the Lie-algebra generated by x and y, is expressed as a commutator series in x and y with coefficients given in terms of certain fixed polynomials. The result is given explicitly to sixth order. Useful recurrence relations are obtained. The method is based on certain properties of higher-order commutator products, particularly their idempotent character.

引用

页码：790 / &

共 10 条

[1]

DYNKIN EB, 1947, DOKL AKAD NAUK SSSR+, V57, P323

[2]

FRIEDRICHS KO, 1953, PURE APPL MATH, V6, P1

[3] THE FORMAL POWER SERIES FOR LOG E-X E-Y [J].