00 2. The state of a particle moving in one-dimensional harmonic oscillator is a coherent state an |n), ja) = e-la12 n=0 where in general a is a complex number. (a) Find the probability distribution and the uncertainty for the energy measurement. (b) If |a) is the state of the system at time t = 0, find (X), (P)t, AP and AXt. Verify that APAX+= ħ/2 always holds.
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