Time evolution of a spin 1/2 particle in a magnetic field
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Solution Summary
A detailed solution for the time evolution of a spin 1/2 particle in a magnetic field is given.
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This problem can be solved using the formal solution of the time-dependent Schrödinger equation:
i hbar d|psi>/dt = H|psi> ------->
|psi(t)> = Exp[-i H t/hbar]|psi(0)>
So, let's evaluate the time evolution operator:
Exp[-i H t/hbar] = Exp[-i omega S_x t/hbar]
We know that:
S_x = hbar/2 sigma_x, where sigma_x is the Pauli Matrix [[0,1]
...
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