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

 

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.