A free electron is at rest in a uniform magnetic field B = Boi. The interaction Hamiltonian is given by: %3D H = -5.B m At time t=0, the electron is in a state with spin up in the z-direction: (< S, >= ;). Find the probability that at time t=T, the electron is in a state with spin down in z-direction, i.e. < Sz >=
A free electron is at rest in a uniform magnetic field B = Boi. The interaction Hamiltonian is given by: %3D H = -5.B m At time t=0, the electron is in a state with spin up in the z-direction: (< S, >= ;). Find the probability that at time t=T, the electron is in a state with spin down in z-direction, i.e. < Sz >=
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TRQ. 1 Solve completely the following Quantum problem. Need full detailed answer, equations and if possible, theory/ literature.
Transcribed Image Text:A free electron is at rest in a uniform magnetic field B = Boi. The
interaction Hamiltonian is given by:
H = -E5.B
m
At time t=0, the electron is in a state with spin up in the
z-direction: (< Sz >= ;). Find the probability that at time t=T,
the electron is in a state with spin down in z-direction, i.e.
< Sz >= -
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