Does anybody know the general form of a 2x2 unitary matrix such that GG*=I. Where I is identity matrix and G* is conjugate traspose of G. I have been told that it is:
Is this correct???
If the matrix is unitary then . Compare matrix elements on both sides of that equation, together with the equation ad-bc=1, and you will find that and . (I'm using bars rather than stars to denote complex conjugates.)
The general unitary matrix could have determinant –1, in which case it has the form .