A note on the Zassenhaus product formula

Abstract

We provide a simple method for the calculation of the terms cn in the Zassenhaus product ea+b=ea eb Πn=2∞ ecn for non-commuting a and b. This method has been implemented in a computer program. Furthermore, we formulate a conjecture on how to translate these results into nested commutators. This conjecture was checked up to order n=17 using a computer.

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