Mechanics of Stern-Gerlach Experiments Question.

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SUMMARY

The discussion centers on the mechanics of Stern-Gerlach experiments, specifically the SGY-SGZ configuration where magnetic fields are aligned along the y and z axes. Participants referenced various equations and probability amplitudes related to spin states, including +Y, +Z, and -Z. The initial query about the validity of a specific equation was resolved, with the original poster acknowledging their misunderstanding. Key resources were shared for further clarification of the equations involved.

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In an SGY-SGZ experiment, where the magnetic field were placed along the y and z axis,
we could write the equation:

[URL]http://bit.ly/pSN1u2[/URL]

for state of spin +Y, +Z, -Z respectively with the prob amplitudes a and b.

take the bra [itex]\left\langle +Z\right|[/itex] to the eq:

[URL]http://bit.ly/qugX1b[/URL]

thus
[URL]http://bit.ly/qg2K32[/URL]
also
[URL]http://bit.ly/qKXI5O[/URL]

so we have
[URL]http://bit.ly/oxzLXT[/URL]

But why the equation really is:
[URL]http://bit.ly/r3jcee[/URL]

Can anyone explain this to me?
 
Last edited by a moderator:
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ok sorry guys, problem is solved. my fault.
 

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