PHYSICS 137B Final: physics137B-sp2016-final-Mueller-exam
Document Summary
Phys 137b (dated: may 8, 2016: finite nuclear radius. In treating hydrogen, one usually assumes that the nu- cleus is pointlike. Show that the e ects of the nite nuclear radius can be described by a perturbation. 2r2) r < r, r > r. (1) of the usual hamiltonian of the hydrogen atom. b. Calculate the change of the ground state energy. If you have to calculate an integral, simplify it by assuming that r << a0. The ground state wave function is = e r/a0 / a3. Consider scattering at a spherical potential wall of the form. The ingoing particle has an energy e and a wavenumber k2 = 2me/2. a. Derive the scattering cross section d /d using the born approximation. b. If ri(r) is the inner radial function (for r < a) and ro(r) the outer one, show that. V0 = r o(a) (3) are that boundary conditions at r = a. c.
