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

Kazuyuki Fujii, Tatsuo Suzuki

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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
Issue number6
Publication statusPublished - 2007 Sep 1



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

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)

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