On the Continuous Spectrum of the Hydrogen Atom

Abstract

The purpose of the present paper is to obtain expressions for the intensities in the continuous spectrum of atomic hydrogen suitable for numerical calculations. This purpose is accomplished by means of a new integral representation for the wave function in this special case. As examples of application, we calculate the absorption spectra of hydrogen beyond the limits of the Balmer and of the Lyman series as well as certain limiting values of the absorption.

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