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