Consider the Hamiltonian H = – () Sy = wSy. (a) Write down the Heisenberg equations of motion for the time-dependent operators S,(t), Sy(t) and S:(t). (b) Solve these equations to obtain S(t), S,(t) and S-(t) as functions of time.

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Consider the Hamiltonian H = -
() S, = wSy.
mc
(a) Write down the Heisenberg equations of motion for the time-dependent operators
S„(t), Sy(t) and S:(t).
(b) Solve these equations to obtain S(t), S,(t) and S-(t) as functions of time.
Transcribed Image Text:eB Consider the Hamiltonian H = - () S, = wSy. mc (a) Write down the Heisenberg equations of motion for the time-dependent operators S„(t), Sy(t) and S:(t). (b) Solve these equations to obtain S(t), S,(t) and S-(t) as functions of time.
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