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Does spin have an effect on the deflection when (not zero)? Does the screen have 3 lines even considering spin?

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Does spin have an effect on the deflection when (not zero)? Does the screen have 3 lines even considering spin?

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Yes, spin matters for the Stern-Gerlach deflection. For an electron with both spin and orbital angular momentum, there will be a deflection according to the total , with contributions from both spin and orbital angular momentum. So there would be 5 lines for , case.

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