Can somebody elabroate on how the P.E. term e^2/r is thrown in shrodinger's(also Dirac) eqution for the hydrogen atom by assuming such term does describe the effects of the negative and the positive charge. It enters into the equation like mass, yet quantum theory( a good one) should calculate such energies, wouldn't you think. The theory should at least give us a function with some constant that we can supply experimentally. That does not sound good for a "fundamental " theory which we have to be keep feeding it ansatz. I can understand external potentials applied but not potentials generated by the system itself.