An electron occupies the n-th state of an infinite square well of width L.

(a) Calculate the expectation value for (x) and (x2 ) as a function of n (b) Calculate the expectation value for (p) and (p ) as a function of n. (c) Is the uncertainty principle satisfied? For which state is the product Ax . Ap minimized? [Hint: the integrals are simplified if you change variables to u = nix 7 You are allowed to use software to perform the integrals]