The purpose of this chapter is to carry out a detailed study of the hydrogen atom. The first section deals with its stability whose importance cannot be overemphasized and is based on the earlier analysis in §3.1 on uncertainties, localization and stability. In the process of this analysis, we will derive an upper bound for the average kinetic energy of the electron in the atom, and obtain a non-vanishing lower bound to its average radial extension as well as determine its exact ground-state energy without even considering first the eigenvalue problem.
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