• Corpus ID: 235727388

Closed forms of Zassenhaus formula

@inproceedings{Dupays2021ClosedFO,
  title={Closed forms of Zassenhaus formula},
  author={L. Dupays},
  year={2021}
}
Zassenhaus formula is used in a wide range of fields in physics or mathematics, from fluid dynamics to differential geometry. The non commutativity of the elements of the algebra implies that the exponential of a sum of operators cannot be splitted in the product of exponential of operators. The exponential of the sum can then be decomposed as the product of the exponentials multiplied by a supplementary term which form is generally an infinite product of exponentials. However, for some special… 

References

SHOWING 1-10 OF 10 REFERENCES
Embedded Zassenhaus Expansion to Operator Splitting Schemes: Theory and Application in Fluid Dynamics
TLDR
An underlying analysis for obtaining higher order operator-splitting methods based on the Zassenhaus product is presented and an improved initialization process to cheap computable to linear convergent iterative splitting schemes is combined.
q-Viscous Burgers' Equation: Dynamical Symmetry, Shock Solitons and q-Semiclassical Expansion
We propose new type of $q$-diffusive heat equation with nonsymmetric $q$-extension of the diffusion term. Written in relative gradient variables this system appears as the $q$- viscous Burgers'
A Non-associative Baker-Campbell-Hausdorff formula
We address the problem of constructing the non-associative version of the Dynkin form of the Baker-Campbell-Hausdorff formula; that is, expressing $\log (\exp (x)\exp(y))$, where $x$ and $y$ are
The Baker-Campbell-Hausdorff Formula and
After the torch of Anders Kock [Taylor series calculus for ring objects of line type, Journal of Pure and Applied Algebra, 12 (1978), 271-293], we will establish the Baker-Campbell-Hausdorff formula
The Baker-Campbell-Hausdorff Formula\nand\nthe Zassenhaus Formula\nin Synthetic DifferentialGeometry
TLDR
After the torch of Anders Kock, the Baker-Campbell- Hausdor formula as well as the Zassenhaus formula in the theory of Lie groups are established.
Perez-Izquierdo J M and Shestakov I P 2016 A non-associative baker-campbell-hausdorff formula (Preprint
  • 2016
Physical Review D
  • 2016
On the q-analogues of the zassenhaus formula for dientangling exponential operators (Preprint math-ph/0212068
  • 2002
Problems of theoretical and experimental physics.