The Baker–Campbell–Hausdorff formula and nested commutator identities

descriptionPublicationkeyboard_double_arrow_right Article 01 Feb 1991 English Publisher:AIP PublishingJournal:Journal of Mathematical Physics, volume 32, pages 419-424 (issn: 0022-2488, eissn: 1089-7658,

Copyright policy )

Authors: Oteo, J. A.;

doi: 10.1063/1.529428

The Baker–Campbell–Hausdorff formula and nested commutator identities

- Summary
- Subjects
- Metrics

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.

Related Organizations

Spanish National Research Council
Spain
University of Valencia
Spain

Keywords

Applications of operator theory in the physical sciences, Baker-Campbell-Hausdorff expansion, Commutators, derivations, elementary operators, etc., Structure theory for Lie algebras and superalgebras

Impact byBIP!

	selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	46
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Top 10%
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Top 10%
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average