×

A simple expression for the terms in the Baker-Campbell-Hausdorff series. (English) Zbl 0974.22015

A simple method for calculating the terms in the Baker-Campbell-Hausdorff series is presented. It involves a finite number of operations with matrices of rational numbers.

MSC:

22E60 Lie algebras of Lie groups
PDFBibTeX XMLCite
Full Text: DOI arXiv

References:

[1] DOI: 10.1215/S0012-7094-56-02302-X · Zbl 0070.25203
[2] Kobayashi H., Physica A 250 pp 535– (1998) · Zbl 0924.22006
[3] DOI: 10.1063/1.529428 · Zbl 0725.47052
[4] Newman M., Math. Comput. 48 pp 265– (1987)
[5] Dynkin E. B., Mat. Sb. 25 pp 155– (1949)
[6] Dynkin E. B., Math. Rev. 11 pp 80– (1949)
[7] Thompson R. C., Proc. Am. Math. Soc. 86 pp 12– (1982)
[8] DOI: 10.1063/1.528242 · Zbl 0676.17004
[9] DOI: 10.1063/1.1724280 · Zbl 0108.44804
[10] DOI: 10.1063/1.1666587 · Zbl 0288.17005
[11] Magnus W. A., Ann. Math. 52 pp 111– (1952) · Zbl 0037.30401
[12] DOI: 10.1002/cpa.3160070404 · Zbl 0056.34102
[13] Munthe-Kaas H., Philos. Trans. R. Soc. London, Ser. A 357 pp 957– (1999) · Zbl 0956.65056
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.