Use the bohr quantization rules to calculate the energy levels for the harmonic oscillator, for which the energy is mw? 2m, that is, the force is mw^r. restrict yourself to circular orbits. what is the analog of the rydberg formula? show that the correspondence principle is satisfied for all values of the quantum number n used in quantizing the angular momentum.

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