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

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dc.creatorWeigert, Stefan
dc.date1997-10-07
dc.date.accessioned2026-07-07T10:55:01Z
dc.date.available2026-07-07T10:55:01Z
dc.descriptionMultiplication 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.
dc.description14 pages
dc.identifierhttps://arxiv.org/abs/quant-ph/9710024
dc.identifierhttp://arxiv.org/abs/quant-ph/9710024
dc.identifierJ.Phys.A30:8739-8749,1997
dc.identifierdoi:10.1088/0305-4470/30/24/032
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/185989
dc.subjectQuantum Physics
dc.subjectMathematical Physics
dc.titleBaker-Campbell-Hausdorff relation for special unitary groups SU(N)
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