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Proceedings of the National Academy of Sciences

The New Quantum Theory and the Zeeman Effect

Paul Sophus Epstein

Published Nov 1, 1926• 6 citations
Publisher

Abstract

The treatment of the Zeeman effect from the point of view of Schroedinger's theory presents certain difficulties. Let us consider the case of a hydrogen atom in a homogeneous magnetic field of the strength H.
DOI
10.1073/pnas.12.11.634

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Abstract The aim of this paper is to put forward a theory of the simple Zeeman effect which possesses the same general features as those of the corresponding theory in the case of the Stark effect already developed by Epstein and Schwarzschild. These general features may be briefly described as follows:— (1) The steady states of the atom are governed by classical dynamics subject to certain conditions, the quantum restrictions, which define the atom both in the absence and the 'presence of the field; (2) radiation occurs during the period of transition from one steady state to another according to Bohr’s energy relation hv = Wm-Wn.
The problem of a spinning electron moving round the nudeu.s in the piesence of an external magnetic held ha.sbeen considered from the wave-statistical point of view.The general expressions for energies and wave functions in any held strength have l)een obtained.The problems of no field, weak field (Zeeman effect) and strong field (Paschen-Back effect) are considered as .specialcases.The resnlt.s for the no field case are identical with tho.se obtained in the earlier paper (Kar and Sengnpta.uj'ig).Other results also agree with the well-known spectro,scopic formulae,