4. The energy for a spin-1 particle in a magnetic field can be written where E...

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4. The energy for a spin-1 particle in a magnetic field can be written where E = h S = (x, y, Sz) with S, the corresponding spin operator for a spin-1 system. 1 (7) (8) (a) A spin-1 particle initially in a state |(0)) = |1) is placed in a magnetic field B |v(t)). = Bo. Find (b) Calculate (S), (Sy), and (S2) as a function of time in this system. Draw a picture illustrating what the vector (5) looks like as a function of time. (c) If the particle instead starts in the state |(0)) = 10), what is (t))? (d) Calculate (Sx), (Sy), and (S2) as a function of time in this system. Comment on how (5) differs from the picture you drew in (b). 4. The energy for a spin-1 particle in a magnetic field can be written where E = h S = (x, y, Sz) with S, the corresponding spin operator for a spin-1 system. 1 (7) (8) (a) A spin-1 particle initially in a state |(0)) = |1) is placed in a magnetic field B |v(t)). = Bo. Find (b) Calculate (S), (Sy), and (S2) as a function of time in this system. Draw a picture illustrating what the vector (5) looks like as a function of time. (c) If the particle instead starts in the state |(0)) = 10), what is (t))? (d) Calculate (Sx), (Sy), and (S2) as a function of time in this system. Comment on how (5) differs from the picture you drew in (b).