One can set up a two-dimensional scattering theory, which could be applied to puck projectiles sliding on an ice rink and colliding with various target obstacles. The cross section (sigma) would be the effective width of a target and the differential cross section d(sigma)/d(theta) would give the number of projectiles scattered in the angle d(theta). a) Show that the two dimensional analog is d(sigma)/d(theta)=absolute value of (db/dtheta). Note that in two dimensional scattering it is convenient to let theta range from -pi to pi. b)Now consider the scattering of a small projectile off a hard “sphere”(actually a hard disk) of radius R pinned down to the ice. Find the differential cross section. (Note that in two dimensions, hard “sphere” scattering is not isotropic.) c)By integrating your answer to part b, show that the total cross section is 2R as expected.
Show more
Delivering a high-quality product at a reasonable price is not enough anymore.
That’s why we have developed 5 beneficial guarantees that will make your experience with our service enjoyable, easy, and safe.
You have to be 100% sure of the quality of your product to give a money-back guarantee. This describes us perfectly. Make sure that this guarantee is totally transparent.
Read moreEach paper is composed from scratch, according to your instructions. It is then checked by our plagiarism-detection software. There is no gap where plagiarism could squeeze in.
Read moreThanks to our free revisions, there is no way for you to be unsatisfied. We will work on your paper until you are completely happy with the result.
Read moreYour email is safe, as we store it according to international data protection rules. Your bank details are secure, as we use only reliable payment systems.
Read moreBy sending us your money, you buy the service we provide. Check out our terms and conditions if you prefer business talks to be laid out in official language.
Read more