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Ensembles for spin one half
Ensembles for spin one half
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Mixed ensemble averages
In [1], Sakurai leaves it to the reader to verify that knowledge of the three ensemble averages [S_x], [S_y],[S_z] is sufficient to reconstruct the density operator for a spin one half system.
I’ll do this in two parts, the first using a spin-up/down ensemble to see what form this has, then the general case. The…
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