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Energy of spin 1/2 particle

  1. Sep 9, 2015 #1
    We know Sz = h/2 [1 0 // 0 -1] for up spin.So can we say that the energy of the electron in this state is h/2 ?
    (since Sz |up> = h/2 |up>)


    Now we consider a Hamiltonian H = [1 0 // 0 -1] which has eigen values +1, -1 and the respective states are
    (1 0) and (0 1).
    If we see the Schrodinger's equation it gives :
    H |1 0 > = 1 * |1 0> which says energy of | 1 0 > is = 1.

    We take same hamiltonian, same state, but once we are getting energy eigen value 1/2 ,next time we are getting 1.
    Where I am getting it wrong ?
     
  2. jcsd
  3. Sep 9, 2015 #2
    Well that's a bit dumb question...Sz includes "1/2" .:H
     
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