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Spin 1/2 rotation and informetry

  1. Apr 19, 2010 #1
    Here is the problem:
    untitled.JPG

    How can relate the magnetic field and the rotations and then the lenght of the area? I only know that 2pi rotation give the initial state a pi phase but that's all.
    where the hell I get the length from?

    thanks
     
  2. jcsd
  3. Apr 19, 2010 #2
    This is just a time evolution problem. You know the initial wavevector will evolve in time according to:

    [tex]|\psi(t)\rangle = \exp(\frac{-iHt}{\hbar})|\psi(0)\rangle[/tex]

    Use the hamiltonian for a spin in a magnetic field. It will look very similar to the rotation generator. Also you know the time the particle is in the magnetic field knowing its velocity.
     
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