Quantum Spin up spin down with magnetic field

  • Thread starter mozartkart
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There is an external magnetic field along the positive z direction B = (0,0, B) and the initial spin direction at time t0= 0 is specified by the direction cosines
Ŝ0= (cos α0, cos β0, cos γ0)
where α0, β0, γ0 are the angles between the initial spin and the x, y, z axes, respectively.
This initial spin pointing in the direction Ŝ0 can be represented in terms of spin up and down states along z direction:
ψ(α000 ) = A(α000 )α + B(α000β ) ,
What are A and B?

For the Psi= A alpha + B beta part alpha and beta represent the |+> and |-> z sates respectively.

Hey everyone on this fine night,
I really don't know where to start and was wondering if someone could give me a push in the right direction? Is this just asking what is the probability of it being up or down? I really can't get my foot out of the door on this :(
 
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