(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

In a Stern-Gerlach device, an atom beam with angular impulse J, travels through a magnetic field applied normally to the trajectory. The beam is separated in 2j+1 beams in general. Find the relative intensities for these beams if J=1 and if the beam is polarized with jθ=1 in a direction that forms an angle θ with the direction of the magnetic field.

2. Relevant equations

The operator

[tex]J \cdot n_{\theta}=J_{\theta}=J_x\sin\theta \cos\phi+J_y \sin\theta\sin\phi+J_z\cos\phi[/tex]

3. The attempt at a solution

I'm not sure what I'm supposed to do. I think I should find the eigenvalues for the given operator, and then determine the probability of measuring each eigenvalue, projecting over each possible eigenstate. I need some guidance with this.

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# Homework Help: Stern-Gerlach, polarized atom beam.

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