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Baker-Campbell-Hausdorff relation for special unitary groups SU(N) | | Stefan Weigert
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7 Oct 1997 | | Journal: | J. Phys. A 30 (1997) 8739 | | Subject: | Quantum Physics; Mathematical Physics | quant-ph math-ph math.MP physics | | Affiliation: | Universitaet Basel, Switzerland | | 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. | | Source: | arXiv, quant-ph/9710024 | | Services: | Forum | Review | PDF | Favorites | |
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