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

b. latent learning (the word "latent" itself means something that exists but isn't obvious, only under certain conditions! )

he made 11 calls in one day

we have been given a quadratic function and we need to restrict the domain such that it becomes a one to one function.

we know that vertex of this quadratic function occurs at (5,2).

further, we know that range of this function is .

if we restrict the domain of this function to either or , it will become one to one function.

let us know find its inverse.

upon interchanging x and y, we get:

let us now solve this function for y.

hence, the inverse function would be if we restrict the domain of original function to and the inverse function would be if we restrict the domain to .