Sakurai introduces QM using Stern Gerlach experiment. He also demonstrates HUP using the experiment.

SG experiment deals with spin. However, spin is very similar to polarization. Hence, HUP should also be demonstrable using polarizers.

Are there any good sources which deals with it ?

  • $\begingroup$ What is “it” in “it should also be demonstrable using polarizers”? Are you asking if spin had a relation to polarization? Otherwise, the Heisenberg uncertainty principle would be manifest in the uncertainty of horizontal/vertical polarization of a photon having 45 degree polarization, for example. $\endgroup$
    – Mark S
    Dec 17, 2021 at 2:31
  • $\begingroup$ it means Heisenberg Uncertainty principle. HUP is manifested by incompatible observables. So if we take 3 polarizer experiment using a vertical, 45, and horizontal polarizer, keeping vertical first and replacing the position of H and 45 in first step and second, we will see that the observation changes for both steps. This shows that the 45 and H polarizations are incompatible. Similar to Sx and Sz being incompatible observables. Their commutator will not be zero. $\endgroup$ Dec 17, 2021 at 4:30
  • $\begingroup$ I found a paper along similar lines. static1.squarespace.com/static/56b6357e01dbaea0266fe701/t/… $\endgroup$ Dec 17, 2021 at 4:32
  • $\begingroup$ This answer on physics stackexchange also discusses it, physics.stackexchange.com/a/240546/28922 $\endgroup$ Dec 17, 2021 at 4:32


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