(a) use the fourier transform in 1-dimension, -) +00 1 (p)ep/h dp 27th and the inverse transform, +oo 1 (p) b(x)eipa/hdt 27th to prove the fourier integral theorem +o0 +oo 1 p(p')e(p-p)a/hdp'da 27th -oo (b) working in 1-dimension for simplicity, use (r) xp ()h x(x) to show that the position operator in momentum space is d