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The problem of the ionized hydrogen molecule

Chao, C. Y. (1929) The problem of the ionized hydrogen molecule. Proceedings of the National Academy of Sciences of the United States of America, 15 (7). pp. 558-565. ISSN 0027-8424.

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The problem of the ionized hydrogen molecule was first treated by Pauli(1) who used the old quantum theory and obtained a result which was not in agreement with experiment. Niessen,(2) however, obtained the experimental value for the lowest energy level by introducing half-quantum numbers. The problem has now been treated by methods of wave-mechanics; thus Burrau(3) obtained a result in very good agreement with experiment by a numerical integration and a general discussion has been given recently by A. H. Wilson.(4) It is well known that the polynomial method of wave-mechanics, invented by Brillouin and Wentzel and developed by Sommerfeld,(5) gives, for a certain group of problems, the same result as the old quantum theory in approximation (0) and gives half-quantum numbers in approximation (1). It is shown in this paper that the present problem belongs to this group.

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Additional Information:© 1929 by the National Academy of Sciences. Communicated May 20, 1929. I am very much indebted to Professor A. Sommerfeld, Professor P.S. Epstein and Professor H. Bateman for the encouragement and suggestions they have given me in the study of this problem. I wish also to express my gratitude to the China Foundation which provides me with a research fellowship.
Issue or Number:7
Record Number:CaltechAUTHORS:CHApnas29
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:8790
Deposited By: Tony Diaz
Deposited On:17 Sep 2007
Last Modified:12 Dec 2019 17:07

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