1)(30 points) Suppose a system has a wave function given by

P(X) = Ax for 0 lt; x lt; L/2

P(X) = A(L-X) for L/2S X SL

P(x) =0 for x everywhere else

And subject to V(x)=0 for 0 lt; x – L/2 and V(x)=co everywhere else.

a) Draw a picture of the wave function inside a 1-dimensional box

b) Set up (do not evaluate) the integral (with the limits) you would use to determine the

normalization constant A.

c) Why do you need the wave function to be normalized?Science