[R] General expression of a unitary matrix

From: J. Liu <liuj24_at_univmail.cis.mcmaster.ca>
Date: Fri 12 Aug 2005 - 23:59:57 EST


Hi, all,

Does anybody got the most general expression of a unitary matrix? I found one in the book, four entries of the matrix are:  

(cos\theta) exp(j\alpha); -(sin\theta)exp(j(\alpha-\Omega));
(sin\theta)exp(j(\beta+\Omega)); (cos\theta) exp(j\beta);
 

where "j" is for complex.
However, since for any two unitary matrices, their product should also be a unitary matrix. When I try to use the above expression to calculate the product, I can not derive the product into the same form. Therefore, I suspect that this may not be the most general expression.

Could you help me out of this? Thanks...



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