Recent content by Antepavolic

I think I got it. I let ##\hat{A}## be represented by a matrix in the given ON basis. This gave me a 8x8 matrix with mostly zeros. I then calculated the eigenvalues to: $$\lambda_1 = 0, \ \lambda_2 = \frac{1}{1+\sqrt{2}}, \ \lambda_3 = \frac{1}{1-\sqrt{2}}, \ \lambda_i = 0 (i=4,5,6,7,8)$$...

Homework Statement Given a system initially in a state $$| \psi \rangle = \frac{1}{\sqrt{6}} \left(|1\rangle + 2 |2\rangle + |3\rangle \right)$$ where ##{|n\rangle}_{n=1}^{8} ##form an ON basis. If we perform a measurement of an observable corresponding to an operator...