Recent content by Mlisjak

I have used different example, since I get too complicated vectors in the exercise I posted originally

Is that equal to finding the norm of the eigenvectors? For example, I have three eigenvectors: v1 = v2 = (1 0 0)† and v3=1/√2 (0 -i 1)†. Would I write Ψo= 2*(1 0 0)†+1/√2 (0 -i 1)†?

To be precise, I don't understand how to get right coefficients to write Ψ(x,0) as a linear combination of the vectors I got. When i get that, I believe that I just have to add time dependence e-iEt/†

Ok, I got the vectors but don't know how to proceed to get Ψ (x,t)

Do you get the same eigenvalues? I put it in the form: ( 1 2-i 2+i 3 ) * (a b)t = (2+√6) (a b)T I'm sorry, I don't know to write it properly. Then I got: a+(2-i)b = (2+√6)a That's where the expression comes from. And by using the second equation i got a=a in which cases we always put 1...

Homework Statement I have the matrix form of the Hamiltonian: H = ( 1 2-i 2+i 3) If in the t=0, system is in the state a = (1 0)T, what is Ψ(x,t)? Homework Equations Eigenvalue equation The Attempt at a Solution So, I have diagonalized given matrix and got...