Pure and mixed spin states For the mixed state defined in Question 5, find the ensemble average [S₂] for the z-component of spin. Express your answer in terms of imaginary unit i, constant pi and reduced Planck's constant, hbar. Note that your answer does not have to include all of these variables.

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This time, let us consider a maxed spin state in which the electrons have equal probabilities of being in the pure states 8x+) and sy+)..

Pure and mixed spin states
For the mixed state defined in Question 5, find the ensemble average [S₂] for the z-component of spin.
Express your answer in terms of imaginary unit i, constant pi and reduced Planck's constant, hbar. Note that
your answer does not have to include all of these variables.
Transcribed Image Text:Pure and mixed spin states For the mixed state defined in Question 5, find the ensemble average [S₂] for the z-component of spin. Express your answer in terms of imaginary unit i, constant pi and reduced Planck's constant, hbar. Note that your answer does not have to include all of these variables.
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