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

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JournalJournal of Physics A: Mathematical and General
DatePublished - 21 Dec 1997
Issue number24
Volume30
Number of pages10
Pages (from-to)8739-8749
Original languageEnglish

Abstract

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.

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© 1997 IOP Publishing Ltd. This is an author produced version of a paper published in Journal of Physics A: Mathematical and General.

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