A simple expression for the terms in the Baker-Campbell-Hausdorff series
Matthias W. Reinsch
TL;DR
This paper presents a straightforward formula for calculating the terms in the Baker-Campbell-Hausdorff series, simplifying computations with matrices of rational numbers and discussing potential generalizations.
Contribution
It introduces a simple, efficient expression for the BCH series terms, enhancing computational approaches in Lie algebra and related fields.
Findings
Derived a simple expression for BCH series terms
Formulation involves finite matrix operations with rational numbers
Discussed possible generalizations of the formula
Abstract
A simple expression is derived for the terms in the Baker-Campbell-Hausdorff series. One formulation of the result involves a finite number of operations with matrices of rational numbers. Generalizations are discussed.
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