Message-ID: <web-101063654@cgpsrv2.cis.mcmaster.ca>
Date: 2005-08-12T13:59:57Z
From: J. Liu
Subject: General expression of a unitary matrix
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...