Abstract
THE CLASSICAL THEORIES.
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References
This article represents substantially the contents of an address delivered, on August 30, before the sixth Scandinavian Mathematical Congress in Copenhagen. It should be mentioned, however, that the present elaboration of the text has been notably influenced by the appearance, since the delivery of the address, of an important paper by Heisenberg, to which reference is made below.
For a closer discussion of these problems reference may be made to a recent article of the writer; compare in particular the addendum (Zs. für Phys. 34, 142, 1925).
Compare an article of the writer (Ann. d. Phys. 71, 228, 1923) which contains a general survey of the results regarding the explanation of spectral evidence on the basis of mechanical pictures of stationary states. In this article detailed reference to the earlier literature on the subject may be found, and we therefore have confined ourselves here to quoting papers which have appeared since then.
O. Klein, Zs. für Phys. 22, 109, 1924.
W. Lenz, Zs. für Phys. 24, 197, 1924.
A. Dauvillier, C.R. Acad. Sci., 177, 476, 1924.
J. D. Main Smith, Journ. Chem. Ind., 44, 944, 1925.
E. C. Stoner, Phil. Mag., 48, 719, 1924.
W. Pauli, Jr., Zs. für Phys. 31, 765, 1925. Compare also H. N. Russell and F. A. Saunders, Astropkys. Journ., 61, 38, 1925; S. Goudsmit, Zs. für Phys. 32, 794, 1925; W. Heisenberg, Zs. für Phys. 32, 841, 1925; F. Hnnd, Zs. für Phys. 33, 345; 34, 296, 1925.
J. C. Slater, NATURE, 113, 307, 1924; see also N. Bohr, H. A. Kramers and J. C. Slater, Phil. Mag., 47, 785, 1925.
H. A. Kramers, NATURE, 113, 673; 114, 310, 1924.
H. A. Kramers and W. Heisenberg, Zs. für phys. 31, 681, 1925.
A. Smekal, Die Naturwissenschaften, 11, 873, 1923.
H. C. Burger and H. B. Dorgelo, Zs. für Phys. 23, 258, 1924; L. S. Ornstein and H. C. Burger, Zs. für Phys. 24, 41; 28, 135; 29, 241, 1924; W. Heisenberg, Zs. für Phys. 31, 617, 1925; S. Goudsmit and R. de L. Kronig, Die Naturwissenschaften, 13, 90, 1925; H. Hönl, Zs. für Phys. 31, 340, 1925; R. de L. Kronig, Zs. für Phys. 31, 885; 33, 261, 1925; A. Sommerfeld und H. Hönl, Ber. Berlin. Akad. 141, 1925; H. N. Russell, NATURE, 115, 835, 1925.
W. Heisenberg, Zs. für Phys. 33, 879, 1925.
M. Born and P. Jordan, Zs. für Phys., to appear shortly. The writer is obliged to the authors for the opportunity of seeing their paper in proof.
Note added in proof. Dr. Pauli has very kindly informed me of his success in making the new theory account quantitatively for the Balmcr formula for the hydrogen spectrum as well as the influence on this spectrum of electric and magnetic fields. This is a very important result, since Pauli's analysis shows how the new theory avoids the difficulty involved in the older account of the spectral evidence in the necessary exclusion of the stationary states corresponding to singular solutions of the electronic motion.
Compare H. A. Kramers, Physica, Dec. 1925.
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BOHR, N. Atomic Theory and Mechanics1. Nature 116, 845–852 (1925). https://doi.org/10.1038/116845a0
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DOI: https://doi.org/10.1038/116845a0