Research output: Contribution to journal › Article

378 KB, PDF document

Journal | Journal of Physics A: Mathematical and General |
---|---|

Date | Published - 21 Dec 1997 |

Issue number | 24 |

Volume | 30 |

Number of pages | 10 |

Pages (from-to) | 8739-8749 |

Original language | English |

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.

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

Find related publications, people, projects, datasets and more using interactive charts.