1.At time t = 0 a particle is represented by the wave functionA²,0≤x≤ a,V(,0)=A,a≤x≤b,otherwise,where A,a, and b are (positive) constants.(a) Normalize (that is, find A, in terms of a and b).(b) Sketch V (1,0), as a function of x.(c) Where is the particle most likely to be found, at t = 0?(d) What is the probability of finding the particle to the left of a?in the limiting cases b = a and b = 2a.(e) What is the expectation value of z?

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