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DeltaFunction
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Homework Statement
A spin-half particle is in a known eigenstate of Sz. Show that the product [tex] <S^2_x> < S^2_y> [/tex] is consistent with the Uncertainty principle
Homework Equations
The Attempt at a Solution
I know that the generalized uncertainty principle gives [tex] ΔS_x ΔS_y ≥ |<[S_x, S_y]>|
=> ΔS_x ΔS_y ≥ \frac{h^2}{16π^2} [/tex]
but I'm stuck as to how to proceed to show the product in question is consistent with this.
Thanks in advance for any help.