Exercises for
Spin Precession of Quantum-mechanical Spin-1/2 Systems

 

Precession Preliminary Exercises

~~1. Load each simulation.  Predict, then describe the results of each of the experiments and how it depends on the strength of the magnetic field. 

~~2. Sketch these results in the form |< final | initial, t >|2 vs. ωt in degrees.  

~~2. Sketch the results of experiments 2-4 on two graphs.  One graph should be of |< final | x+, t >|2 vs. ωt in degrees and the other graph graph should be of |< final | x−, t >|2 vs. ωt in degrees.

Be systematic by setting the magnetic field strength to 0, 9, 18, 27, and finally 36, respectively.  The beam of electrons is sent through a magnet for a fixed time equal to t = 2πmec/36|e|.