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Expectation Value of Spin Operator

  1. Jan 17, 2013 #1
    Hey,

    I'm having trouble interpreting a question, as the solutions say something different... Anyways the question part d) below:

    expectation.png

    So we want to determine the expectation value of the y-component of the electron spin on the eigenstate of Sx, now I would of thought this was given by:

    [tex]<\uparrow_{x}|\hat{S}_{y}|\uparrow_{x}>[/tex]

    However in my solutions it uses the Spin operator in the z-direction instead, I'm note exactly sure what it means by the y-component of the electron spin though I'd of thought this y-component would of been represented by the Spin operator referring to the y components i.e. Sy.

    Can someone confirm this? OR tell me why I'm wrong!

    Thanks,
    SK
     
  2. jcsd
  3. Jan 17, 2013 #2

    vela

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    You're right. It's probably just a typo in the solutions.
     
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