Explicit Description of the Zassenhaus Formula

Abstract

We explicitly describe an expansion of $e^{A+B}$ as an infinite sum of the products of $B$ multiplied by the exponential function of $A$. This is the explicit description of the Zassenhaus formula. We also express the Baker-Campbell-Hausdorff formula in a different manner.

5 pages, version accepted for publication in PTEP

References in corpus (3)

• Efficient computation of the Zassenhaus formula
• Closed Form of the Baker-Campbell-Hausdorff Formula for the Generators of Semisimple Complex Lie Algebras
• Classification of Commutator Algebras Leading to the New Type of Closed Baker-Campbell-Hausdorff Formulas

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