What is the best way of normalisation of a complex eigenvector of a complex hermitian matrix. Here I am doing this in the following way, but norm remaim as it is.
syms theta phi
a=[cos(theta) sin(theta)*exp(1i*phi);sin(theta)*exp(-1i*phi) cos(theta)];
This produces the vector as
exp(phi*1i)/(exp(-2*imag(phi)) + 1)^(1/2)
1/(exp(-2*imag(phi)) + 1)^(1/2)
But Normalization factor remain in symbolic form, but it should by sqrt(2). Pl somebody help me to understand.