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

 

Unknown Magnetic Field Precession Exercises

~~1. Determine the polarization of the unknown magnetic field.  

 

~~2. What orientation of the other analyzers, strength of the unknown magnetic field, and outcome(s) did you use to determine this?  Note that the first analyzer has a fixed orientation.

 

~~3. For the particular orientation in (2), write the initial states emerging from the first SG analyzer and final states emerging from the second set of SG analyzers in Dirac notion.  In other words something like:  |z+> or |z−>.  Represent the fraction of the original beam that makes it to each detector in terms of these states.

Repeat this analysis for the remaining analyzers.