Exercises for the Spin Eigenstate: |y+>
~~1. Run the |y+> (spin eigenstate) simulations with the ideal Y Stern-Gerlach apparatus. Predict, then describe the results of the experiments. What do you expect the difference between the experiments with ideal Stern-Gerlach apparatus Y as compared to Z and X will be?
~~2. Calculate the eigenstates of Sx and Sz in terms of |y+> and |y−>.
~~3. Predict the outcome of an experiment where the ideal Stern-Gerlach apparatus is oriented in the z direction. What about if the ideal Stern-Gerlach apparatus was in the x direction? What about the spin eigenstates leads you to this conclusion? Now run the simulations and check against your predictions and calculations.