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The Hydrogen Spectrum in the New Quantum Theory

Eckart, Carl (1926) The Hydrogen Spectrum in the New Quantum Theory. Physical Review, 28 (5). pp. 927-935. ISSN 0031-899X. http://resolver.caltech.edu/CaltechAUTHORS:ECKpr26

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Abstract

The Born and Jordan matrices representing the "coordinates" of the hydrogen atom are calculated. The model is that of an electron revolving without rotation about a positive nucleus. The computation is based on a method developed independently by the author and by E. Schroedinger. Half quantum numbers appear in the formulas for the matrices. It is stated without proof, that they also enter into the formula for the relativistic fine structure. This will necessitate the consideration of a more elaborate model for the hydrogen atom (the rotating electron of Uhlenbeck and Goudsmit). The intensity ratio of the two brighter components of Hα is calculated and found to be 10:2.1 in contradiction with the observed 10:8. For Hβ the calculated ratio is 10:3.6, and the observed 10:9. The discrepancy is too great to be accounted for by the incompleteness of the model, and points to a difficulty in the Born and Jordan theory.


Item Type:Article
Related URLs:
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http://dx.doi.org/ 10.1103/PhysRev.28.927DOIUNSPECIFIED
http://link.aps.org/doi/10.1103/PhysRev.28.927PublisherUNSPECIFIED
Additional Information:©1926 The American Physical Society. Received 17 July 1926. It is a pleasant duty to acknowledge my indebtedness to Professors P. S. Epstein and H. Bateman for much valuable assistance, and to Mr. H. Hicks, who very kindly checked the numerical computations.
Record Number:CaltechAUTHORS:ECKpr26
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:ECKpr26
Alternative URL:http://dx.doi.org/10.1103/PhysRev.28.927
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:2476
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:05 Apr 2006
Last Modified:26 Dec 2012 08:49

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