5. mary and steve played cribbage all day, and that night, when mary slept, she dreamt of new ways to win the game. three theories on why we dream are the activation-synthesis theory, the information processing theory, and freud's theory of latent content. explain each of the following theories, and relate it to mary's dream.

An electron is trapped at a defect in a crystal. the defect may be modeled as a one-dimensional, rigid-walled box of width 1.00 nm. (a) sketch the wavefunctions and probability densities for the n 1 and n 2 states. (b) for the n 1 state, nd the probability of nding the electron between x1 0.15 nm and x2 0.35 nm, where x 0 is the left side of the box. (c) repeat (b) for the n 2 state. (d) calculate the energies in electron volts of the n 1 and n 2 states