An electron is subject to a uniform, time-independent, magnetic field of strength B in the z-direction At t 0 an electron is prepared in an lying in the rz-plane, that makes an eigenstate of S n with eigenvalue h/2, wheren is a unit vector angle B with the z-axis. (a) What is the probability of finding the electron spin in the Sa = h/2 state as a function of time? (b) Find (Sa) as a function of time (c) Check the limiting cases as discussed in class to confirm your answers.
An electron is subject to a uniform, time-independent, magnetic field of strength B in the z-direction At t 0 an electron is prepared in an lying in the rz-plane, that makes an eigenstate of S n with eigenvalue h/2, wheren is a unit vector angle B with the z-axis. (a) What is the probability of finding the electron spin in the Sa = h/2 state as a function of time? (b) Find (Sa) as a function of time (c) Check the limiting cases as discussed in class to confirm your answers.
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Transcribed Image Text:An electron is subject to a uniform, time-independent, magnetic field of strength B in the z-direction
At t 0 an electron is prepared in an
lying in the rz-plane, that makes an
eigenstate of S n with eigenvalue h/2, wheren is a unit vector
angle B with the z-axis.
(a) What is the probability of finding the electron spin in the Sa = h/2 state as a function of time?
(b) Find (Sa)
as a function of time
(c) Check the limiting
cases as discussed in class to confirm your answers.
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