Comment 4. We model the hydrogen atom as an electron moving under the influence of a Coulomb force towards the origin, with the proton assumed to be fixed at the origin.

(a) Write down the Hamiltonian for this system, defining the symbols that you use. What is the time-independent Schrödinger equation? (b) Consider the energy eigenfunction 211 (r, 0, 0) = Are 200 sine for the hydrogen atom electron, where ao is the Bohr radius. Determine the constant A (note the integral expressions at the top of the sheet). Evaluate your result, e.g. state one way you can see your result could be correct, or one way you know your result must be wrong.