1. Oct 15, 2004

### Ed Quanta

Ok, so let us suppose we have a spinor which is a spin 1/2 state vector (a)
b

Now spinors exist in 2 dimensional complex space. How do I find the eigenvalues which correspond to the eigenvector
(a)
b

I am confused because we are dealing with eigenvalues for a matrix which is not a square matrix. I know for a square matrix we just find the eigenvalues such that the determinant of the matrix becomes zero. I am not sure how to deal with determinants of non-square matrices however. Helo anybody?

2. Oct 16, 2004

### Dr Transport

in spin 1/2 space, the eigen vectors are usually found using the z component of the angular momentum. Use the Pauli matricies for $$S_{z}$$ to find the eigenvalues and vectors.