The Dispersion by Hydrogen-Like Atoms in Undulatory Mechanics

In view of the recent experimental determination of the dispersion by atomic hydrogen [1] it seems interesting to apply the theory of dispersion developed by Schrödinger [2] to this case. In this paper we restrict ourselves to an approximation in which terms of the order of relativistic correction are neglected. For this purpose it is simpler to obtain our wave equation by the operational method of Schrödinger [3] and Eckart [4], as extended by Epstein [5], for in this way we immediately obtain an equation free of relativistic terms.