Maximal reductions in the Baker–Hausdorff formula
- 1 January 1993
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 34 (1) , 270-285
- https://doi.org/10.1063/1.530381
Abstract
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 ez=exey 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.Keywords
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