4. Let us bring the electron spin back to the picture. The spin is only another angular momentum for the magnetic eld to interact with. The
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Let us bring the electron spin back to the picture. The spin is only another angular momentum for the magnetic

field to interact with. The interaction Hamiltonian between a magnetic field and the spin is

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4. Let us bring the electron spin back to the picture. The spin is only another angular
momentum for the magnetic field to interact with. The interaction Hamiltonian
between a magnetic field and the spin is 2’13; -r
h -B. (a) How does the result of the experiment in the previous exercise change for the ground state beam? We assume that our source also does not control the spin
of the emitted atoms. (b) Finally, let’s consider the following experiment. We will prepare two beams of
H atoms in the ground state in the following ways Vincss 9"- i. Beam (a) is a mixture of 50% purely spin up H atoms and 50% purely
spin down H atoms. ii. Beam (b) is composed of identical H atoms that are equally likely to be
spin up and spin down. How can you experimentally differentiate between these two beams? Hint: Consider passing each beam through Stern-Gerlach devices in :r, y or z direc-
tion. What would be the outcome in each case?

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