Problem 2.2. Uncertainty is an important concept in quantum mechanics, in that everything has an intrinsic uncertainty when we measure it. Let's consider the uncertainty of measuring the average position of an electron in the box. Define the root-mean square deviation of position, (x)2=x2x2 Calculate (x)2 for the n=1 and n=2 states of the particle in a box. Problem 2.3. Now, calculate the root-mean square deviation of momentum, (p)2=p2p2 for the n=0 and n=1 states of the particle in a box