Below please find functions that attempt to test for whether a matrix
is unitary and special unitary (SU) and generate an SU matrix from a
3-vector and convert a 2x2 SU matrix to a 3-vector. These are not
extensively debugged, so they may not be correct. However, they passed
a few s
Could you provide an example that can NOT be expressed in that form?
spencer graves
J. Liu wrote:
> Thank you, Spencer. I read through the websites you suggested. What I
> need is how to parameterize a 2\times 2 unitary matrix. Generally,
> since for a complex 2\times 2 matri
Thank you, Spencer. I read through the websites you suggested. What I
need is how to parameterize a 2\times 2 unitary matrix. Generally,
since for a complex 2\times 2 matrix, there are 8 free variables, and
for it to be unitary, there are four constraints (unit norm and
orthogonality), hence I thin
Google led me to
"http://mathworld.wolfram.com/SpecialUnitaryMatrix.html";, where I
learned that a "special unitary matrix" U has det(U) = 1 in addition to
the "unitary matrix" requirement that
U %*% t(Conj(U)) == diag(dim(U)[1]).
Thus, if U is a k x k unitary mat
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, s
