On multi-variable Zassenhaus formula

Abstract

In this paper, we give a recursive algorithm to compute the multivariable Zassenhaus formula $$e^{X_1+X_2+\cdots +X_n}=e^{X_1}{e}^{X_2}\cdots e^{X_n}\prod _{k=2}^{\infty }{e}^{W_k}$$ and derive an effective recursion formula of $W_k$.

arXiv comment13 pages

References in corpus (4)

• Efficient computation of the Zassenhaus formula
• Effects of time ordering in quantum nonlinear optics
• Disentangling q-exponentials: A general approach
• A note on the Zassenhaus product formula

Cited by in corpus (2)

• Tits type alternative for groups acting on toric affine varieties
• Closed forms of the Zassenhaus formula