Time-dependent perturbation theory. when an electron in a id particle in a box interacts with light, the perturbation takes the form afoe sin ot a. (2 points) for a particle in a id box, write the transition dipole moment mn between /m and /n. compute the integral and simplify as much as you can b. (1 point) ifm and n are both even or both odd, what is amn (6 points, 2 points each) a particle in a id box is prepared such that the electron is in 3. for the following frequencies of light, if light with this frequency shines on the box, will absorption be observed? will stimulated emission be observed? what states (if any) will have a large transition probability? c. 5t2 h 2ml2 7t2 h 2ml2 8t2h 2ml2