The Baker–Campbell–Hausdorff formula and nested commutator identities
- 1 February 1991
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 32 (2) , 419-424
- https://doi.org/10.1063/1.529428
Abstract
The coefficients of the Baker–Campbell–Hausdorff expansion are calculated by using various methods. Comparison of the results yields several remarkable identities satisfied by multiple commutators, which, in turn, allow us to greatly simplify the form of the expansion up to order eight.Keywords
This publication has 15 references indexed in Scilit:
- The Baker-Campbell-Hausdorff formula and the convergence of the Magnus expansionJournal of Physics A: General Physics, 1989
- The Campbell-Baker-Hausdorff expansion for classical and quantum kicked dynamicsJournal of Physics A: General Physics, 1988
- An elementary proof of the Baker-Campbell-Hausdorff-Dynkin formulaMathematische Zeitschrift, 1975
- Expansion of the Campbell‐Baker‐Hausdorff formula by computerCommunications on Pure and Applied Mathematics, 1965
- The Baker-Hausdorff Formula and a Problem in Crystal PhysicsJournal of Mathematical Physics, 1962
- Free Differential Calculus, IV. The Quotient Groups of the Lower Central SeriesAnnals of Mathematics, 1958
- Integration of Paths, Geometric Invariants and a Generalized Baker- Hausdorff FormulaAnnals of Mathematics, 1957
- The formal power series for logexeyDuke Mathematical Journal, 1956
- On relations between commutatorsCommunications on Pure and Applied Mathematics, 1955
- A basis for free Lie rings and higher commutators in free groupsProceedings of the American Mathematical Society, 1950