A free electron is at rest in a uniform magnetic field B(t) = Bo cos(wt)k. (a) If time t=0, the electron is in a state with spin up in the x-direction, find the probability that at a later time t=T, the electron is in a state with spin down in x-direction. (b) What minimum value of the magnetic field amplitude Bo, will result in the probability of flipping the spin in the z-direction to be equal to 1, i.e. a complete flip in S,?
A free electron is at rest in a uniform magnetic field B(t) = Bo cos(wt)k. (a) If time t=0, the electron is in a state with spin up in the x-direction, find the probability that at a later time t=T, the electron is in a state with spin down in x-direction. (b) What minimum value of the magnetic field amplitude Bo, will result in the probability of flipping the spin in the z-direction to be equal to 1, i.e. a complete flip in S,?
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Transcribed Image Text:A free electron is at rest in a uniform magnetic field B(t) = Bo cos(wt)k.
(a) If time t=0, the electron is in a state with spin up in the x-direction, find the probability that
at a later time t=T, the electron is in a state with spin down in x-direction.
(b) What minimum value of the magnetic field amplitude Bo, will result in the probability of
flipping the spin in the z-direction to be equal to 1, i.e. a complete flip in S,?
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