Q#1: Consider a 2D infinite potential well of widths a and b: (a) If a = b and the well contains 19 non-interacting electrons (spin ?), find their minimum total energy. If a = 2b and the well contains 32 non-interacting deuterons (spin 1), find their minimum total energy. (b) An electron is in the ground state of a 3D infinite-potential well, defined as follows: the potential is zero inside the well (-a x2 . [Note: x/, x2, ko are constants] (c) Calculate the expectation values for position, momentum and kinetic energy (in terms of: x1, X2, ko, me, h). (d) Write down an integral equation for A(k) that represents this wave packet in k-space, as well as an integral equation that determines the time evolution of (x) in x-space at any t > 0