Exercises for the Spin Eigenstate: |z+>
~~1. Run the |z+> (spin eigenstate) simulation with the first ideal Stern-Gerlach apparatus oriented in the Z direction. Begin with the scenario in which the second analyzer has the same orientation as the first. Predict, then describe the results of the experiments (predict % of the spin-1/2 particles that will reach each counter).
~~2. Now change (click it) the second analyzer to X and then Y (keeping the first analyzer oriented in the Z direction). What do you expect will the difference between experiments with the second ideal Stern-Gerlach apparatus oriented in the X or Y direction as opposed to the Z direction? Run the experiment and note the % of the spin-1/2 particles that reach each counter.
~~3. Now change (click it) the first analyzer to X and then Y and change, and keep, the second analyzer oriented in the Z direction. What do you expect will the difference between the results of these experiments versus the ones with the second ideal Stern-Gerlach apparatus oriented in the X or Y direction? Run the experiment and note the % of the spin-1/2 particles that reach each counter.
~~4. Explicitly compare the results when the ideal Stern-Gerlach analyzers are ordered ZX and XZ, respectively. Is there any difference in the % of counts at each detector? Are the final states, upon going through the second analyzer, the same?