Abstract

A new concept is introduced for a hydrogen-like atom having stationary states in which an electron is at rest relative to an atomic nucleus. It is asserted that solutions of Schr?dinger's equation describe the discrete series of states of a specific electron field, named Ksk-field. This real physical field possesses its own potential, determined in the solution to Schr?dinger equation. To this discrete Ksk-field series corresponds a discrete series of hydrogen-like atomic states. In the solution of Schr?dinger's equation, the requirement of finiteness, continuity and single-valuedness are applied to wave functions. But contrary to the traditional approach, the requirement of single-valuedness is applied not to the wave function itself, but to its square; moreover, the usual square is used here instead of the complex conjugate product. As a result new and simpler connections between quantum numbers are discovered, and calculations become simple and obvious for the magnetic moment M, and for the gyromagnetic ratio g. New wave functions have found their place in a new theory of electron structure worked out by the author, and this considerably facilitates the interpretation of quantum processes. This new atomic model aids in interpreting Wierl's experiments.