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 languageEnglish
Pages (from-to)897-905
Number of pages9
JournalInternational Journal of Geometric Methods in Modern Physics
Volume4
Issue number6
DOIs
Publication statusPublished - 2007 Sep
Externally publishedYes

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expansion
matrices

Keywords

  • Baker-Campbell-Hausdorff formula
  • Lie group
  • Magic matrix

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)

Cite this

On the magic matrix by Makhlin and the B-C-H formula in SO(4). / Fujii, Kazuyuki; Suzuki, Tatsuo.

In: International Journal of Geometric Methods in Modern Physics, Vol. 4, No. 6, 09.2007, p. 897-905.

Research output: Contribution to journal › Article

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, vol. 4, no. 6, pp. 897-905. https://doi.org/10.1142/S0219887807002430
Fujii K, Suzuki T. On the magic matrix by Makhlin and the B-C-H formula in SO(4). International Journal of Geometric Methods in Modern Physics. 2007 Sep;4(6):897-905. https://doi.org/10.1142/S0219887807002430
Fujii, Kazuyuki ; Suzuki, Tatsuo. / On the magic matrix by Makhlin and the B-C-H formula in SO(4). In: International Journal of Geometric Methods in Modern Physics. 2007 ; Vol. 4, No. 6. pp. 897-905.
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