Exercises for
Multiple Measurements of Quantum-mechanical Spin-1/2 Systems

 

Two Analyzer Mixture Exercises

~~1. Run the Mixture simulations for each fixed-orientation (black) ideal Stern-Gerlach apparatus (X, Y, and Z).  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. What about the random (statistical) mixture leads you to believe the results from the simulation?

 

~~3. Now systematically change the second analyzer (click it) in the three simulations and note the results of the experiments (note the % of the spin-1/2 particles that reach each counter).

 

~~4. Compare the results when the ideal Stern-Gerlach analyzers are 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?