a) Use the energies and eigenstates for this case to determine the time evolution psi(t) of the state with initial condition psi(0) = (1/root(2))*matrix(1,1). (Vertical matrix, 2x1!) b) For your solution from part (a), calculate the expectation values , , as a function of time. I have attached the image of the orginial questi

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Chapter1: Units, Trigonometry. And Vectors
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The Hamiltonian of a spin in a constant magnetic field B aligned with the y axis is given by H = aSy, where a is a constant.

a) Use the energies and eigenstates for this case to determine the time evolution psi(t) of the state with initial condition psi(0) = (1/root(2))*matrix(1,1). (Vertical matrix, 2x1!)

b) For your solution from part (a), calculate the expectation values <Sx>, <Sy>, <Sz> as a function of time.

I have attached the image of the orginial question!

The Hamiltonian of a spin in a constant magnetic field B aligned with the y axis is give
by H = aSy, where a is a constant.
(a) Use the energies and eigenstates for this case to determine the time evolution V(t) of
the state with initial condition ¥(0) = 5 G).
(b) For your solution from part (a), calculate the expectation values (Sz), (Sy) and (S:) as
a function of time.
Transcribed Image Text:The Hamiltonian of a spin in a constant magnetic field B aligned with the y axis is give by H = aSy, where a is a constant. (a) Use the energies and eigenstates for this case to determine the time evolution V(t) of the state with initial condition ¥(0) = 5 G). (b) For your solution from part (a), calculate the expectation values (Sz), (Sy) and (S:) as a function of time.
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