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Homework Help: Spin interaction with B field

  1. Aug 15, 2013 #1
    1. The problem statement, all variables and given/known data
    The problem is stated on page 10 and it is number 9. http://panda.unm.edu/pandaweb/graduate/prelims/QM_F11.pdf

    2. Relevant equations
    I know how to write Sy in the z basis for either spin up or down and I have all the spinors.

    3. The attempt at a solution
    I tried solving for |ψ(t)> by using Bo as the hamiltonian but that seems to give me an answer that a is single solution and I was expecting a column vector as a solution. If I got a column vector I would just take the inner product of |<Sy|ψ(t)>|2 and that would give me the probability. With this said I feel like I am approaching this problem wrong and I have to take into account that fact that the magnetic field is in the z direction.
  2. jcsd
  3. Aug 15, 2013 #2
    Hmm what you say above doesn't make much sense to me because [itex]S_y[/itex] and [itex]H[/itex] are supposed to be matrices.

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