A note on the Baker–Campbell–Hausdorff series in terms of right-nested commutators
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Título
A note on the Baker–Campbell–Hausdorff series in terms of right-nested commutatorsFecha de publicación
2021-01-27Editor
SpringerISSN
1660-5446; 1660-5454Cita bibliográfica
Arnal, A., Casas, F. & Chiralt, C. A Note on the Baker–Campbell–Hausdorff Series in Terms of Right-Nested Commutators. Mediterr. J. Math. 18, 53 (2021). https://doi.org/10.1007/s00009-020-01681-6Tipo de documento
info:eu-repo/semantics/articleVersión de la editorial
https://link.springer.com/article/10.1007/s00009-020-01681-6#article-infoVersión
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Resumen
We get compact expressions for the Baker–Campbell–Hausdorff
series Z = log(eX eY ) in terms of right-nested commutators. The reduction in the number of terms originates from two facts: (i) we use as a
starting point ... [+]
We get compact expressions for the Baker–Campbell–Hausdorff
series Z = log(eX eY ) in terms of right-nested commutators. The reduction in the number of terms originates from two facts: (i) we use as a
starting point an explicit expression directly involving independent commutators and (ii) we derive a complete set of identities arising among
right-nested commutators. The procedure allows us to obtain the series
with fewer terms than when expressed in the classical Hall basis at least
up to terms of grade 10. [-]
Publicado en
Mediterranean Journal of Mathematics, 2021.Entidad financiadora
Isaac Newton Institute for Mathematical Sciences | UK Research & Innovation (UKRI) | Engineering & Physical Sciences Research Council (EPSRC) | Ministerio de Economia y Competitividad
Código del proyecto o subvención
EP/R014604/1 | MTM2016-77660-P
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© Springer Nature Switzerland AG 2021. “This is a post-peer-review, pre-copyedit version of an article published in Mediterranean Journal of Mathematics. The final authenticated version is available online at: https://doi.org/10.1007/s00009-020-01681-6”
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