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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![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,?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcb460c0c-d029-4e90-a450-1d82490780a1%2F866bfa79-6964-454d-8ada-574132a6e104%2F7bmh5q9_processed.jpeg&w=3840&q=75)
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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