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