thesis10.1088/0305-4470/30/24/032

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

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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    White Rose Research Online

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    oai:eprints.whiterose.ac.uk:1352Last time updated on 6/28/2012View original full text link

    This paper was published in White Rose Research Online.

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