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Suppose a particle of mass m and charge q is in a one-dimensional harmonic oscillator potential with natural frequency wo. For times t > 0 a time-dependent potential of the form Vi (x) = ex cos(wt) is turned on. Assume the system starts in an initial state In). 1. Find the transitionn probability from initial state (n) to a state In') with n' n. 2. Find the transition rate (probability per unit time) for the transition (n) → In'). Note: (n'lan) (n+ 18, ,n+1+ Vnôn,n-1). 2m