An electron is subject to a uniform time-independent magnetic field B= Bê. At t=0 the electron is in an eigenstate of S.î with eigenvalue 1/2where i is a unit vector lying in the xz-plane that makes an angle ß with +ve z-axis. a) Obtain the probability for finding the electron in the S, state as a function of time. b) Find the expectation value of S, as a function of time. c) Show that the answers make sense in the B=0, and B= cases.
An electron is subject to a uniform time-independent magnetic field B= Bê. At t=0 the electron is in an eigenstate of S.î with eigenvalue 1/2where i is a unit vector lying in the xz-plane that makes an angle ß with +ve z-axis. a) Obtain the probability for finding the electron in the S, state as a function of time. b) Find the expectation value of S, as a function of time. c) Show that the answers make sense in the B=0, and B= cases.
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Transcribed Image Text:An electron is subject to a uniform time-independent magnetic field B= Bê. At t=0
the electron is in an eigenstate of S.î with eigenvalue 1/2where i is a unit vector
lying in the xz-plane that makes an angle ß with +ve z-axis.
a) Obtain the probability for finding the electron in the S,
state as a function
of time.
b) Find the expectation value of S, as a function of time.
c) Show that the answers make sense in the B=0, and B= cases.
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