Question: Consider a one-dimensional simple harmonic oscillator whose classical angular frequency is wo. For t 0 there is also a time-dependent potential where F 0 is

Consider a one-dimensional simple harmonic oscillator whose classical angular frequency is wo. For t 0 there is also a time-dependent potential

where F₀ is constant in both space and time. Obtain an expression for the expectation value ⟨x⟩ as a function of time using time-dependent perturbation theory to lowest nonvanishing order. Is this procedure valid for ω ≈ ω₀? [You may use

V(t)= Fox cos wt,

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