A spin ½ particle is in the eigenstate of Sx with eigenvalue + at time t=0. At that time, a magnetic field of magnitude B pointing in the z-direction is applied and the spin is allowed to precess for a time T. Calculate the probability of finding the particle in the same initial spin state, as a function of T.

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A spin ½ particle is in the eigenstate of Sx with eigenvalue +at time t=0. At
that time, a magnetic field of magnitude B pointing in the z-direction is applied
and the spin is allowed to precess for a time T. Calculate the probability of
finding the particle in the same initial spin state, as a function of T.
Transcribed Image Text:A spin ½ particle is in the eigenstate of Sx with eigenvalue +at time t=0. At that time, a magnetic field of magnitude B pointing in the z-direction is applied and the spin is allowed to precess for a time T. Calculate the probability of finding the particle in the same initial spin state, as a function of T.
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