PPLICATION OF PERTURBATION THEORY TO SCHRÖDINGER EQUATION OF HYDROGEN ATOM (CASE OF FINITE-SIZE NUCLEUS)

Abstract

Corrections in energy levels of hydrogen atom are calculated using first-order perturbation theory of hydrogen atom with finite size proton. The finite size proton is used by introducing the charge density of the proton. In this thesis, we have presented the approximation methods in quantum mechanics using the time-independent perturbation theory. Then we have applied the results of energy level of the system with single electron. As we have seen through calculation of 1s, 2s and 2p, electron will be found in the nucleus only at s-state which implies that energy shift for this state is proportional to the size of proton, while at p-state electron is not inside the nucleus. Therefore, application of perturbation theory has shown that the energy correction is very small at each state. The higher order can be ignored.