Baker-Campbell-Hausdorff relation for special unitary groups SU(N)
Weigert, Stefan
arXiv, 9710024 / Harvested from arXiv
Text on arXiv
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.
Publié le : 1997-10-07
Classification:  Quantum Physics,  Mathematical Physics 
@article{9710024,
     author = {Weigert, Stefan},
     title = {Baker-Campbell-Hausdorff relation for special unitary groups SU(N)},
     journal = {arXiv},
     volume = {1997},
     number = {0},
     year = {1997},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9710024}
}

Weigert, Stefan. Baker-Campbell-Hausdorff relation for special unitary groups SU(N). arXiv, Tome 1997 (1997) no. 0, . http://gdmltest.u-ga.fr/item/9710024/