On the magic matrix by Makhlin and the B-C-H formula in SO(4)

Kazuyuki Fujii; Tatsuo Suzuki

doi:10.1142/S0219887807002430

On the magic matrix by Makhlin and the B-C-H formula in SO(4)

Kazuyuki Fujii, Tatsuo Suzuki

Research output: Contribution to journal › Article

1 Citation (Scopus)

Abstract

A closed expression to the Baker-Campbell-Hausdorff (B-C-H) formula in SO(4) is given by making use of the magic matrix by Makhlin. As far as we know this is the first nontrivial example on (semi-) simple Lie groups summing up all terms in the B-C-H expansion.

Original language	English
Pages (from-to)	897-905
Number of pages	9
Journal	International Journal of Geometric Methods in Modern Physics
Volume	4
Issue number	6
DOIs	https://doi.org/10.1142/S0219887807002430
Publication status	Published - 2007 Sep 1

Keywords

Baker-Campbell-Hausdorff formula
Lie group
Magic matrix

ASJC Scopus subject areas

Physics and Astronomy (miscellaneous)

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10.1142/S0219887807002430

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Fujii, K., & Suzuki, T. (2007). On the magic matrix by Makhlin and the B-C-H formula in SO(4). International Journal of Geometric Methods in Modern Physics, 4(6), 897-905. https://doi.org/10.1142/S0219887807002430

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