Baker-Campbell-Hausdorff relation for special unitary groups SU(N)

Details Baker-Campbell-Hausdorff relation for special unitary groups SU(N) Baker-Campbell-Hausdorff relation for special unitary groups SU(N)

1997-10-07

arxiv.org/abs/quant-ph/9710024v1

J.Phys.A30:8739-8749,1997

Physics

Quantum Physics

14 pages

Scientific paper

10.1088/0305-4470/30/24/032

Multiplication of two elements of the special unitary group SU(N) determines uniquely a third group element. A BAker-Campbell-Hausdorff relation is derived which expresses the group parameters of the product (written as an exponential) in terms of the parameters of the exponential factors. This requires the eigen- values of three (N-by-N) matrices. Consequently, the relation can be stated analytically up to N=4, in principle. Similarity transformations encoding the time evolution of quantum mechanical observables, for example, can be worked out by the same means.

Affiliated with

Also associated with

No associations

Rating

Baker-Campbell-Hausdorff relation for special unitary groups SU(N) does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Baker-Campbell-Hausdorff relation for special unitary groups SU(N), we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Baker-Campbell-Hausdorff relation for special unitary groups SU(N) will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-204141