On the Magic Matrix by Makhlin and the B-C-H Formula in SO(4)

Details On the Magic Matrix by Makhlin and the B-C-H Formula in SO(4) On the Magic Matrix by Makhlin and the B-C-H Formula in SO(4)

2006-10-02

arxiv.org/abs/quant-ph/0610009v3

Int.J.Geom.Meth.Mod.Phys.4:897-905,2007

Physics

Quantum Physics

Latex ; 11 pages ; 1 figure ; minor changes. To appear in International Journal of Geometric Methods in Modern Physics (vol.4,

Scientific paper

10.1142/S0219887807002430

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 {\bf first nontrivial example} on (semi-) simple Lie groups summing up
all terms in the B-C-H expansion.

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