English

A note on the Zassenhaus product formula

Mathematical Physics 2009-11-11 v1 math.MP

Abstract

We provide a simple method for the calculation of the terms c_n in the Zassenhaus product ea+b=eaebn=2ecne^{a+b}=e^a e^b \prod_{n=2}^{\infty} e^{c_n} 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.

Cite

@article{arxiv.math-ph/0603016,
  title  = {A note on the Zassenhaus product formula},
  author = {Daniel Scholz and Michael Weyrauch},
  journal= {arXiv preprint arXiv:math-ph/0603016},
  year   = {2009}
}
R2 v1 2026-07-22T16:27:30.929Z