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Part of the book series: Grundlehren der mathematischen Wissenschaften ((GL,volume 214))

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Abstract

We have seen in §8 that Schrödingers Wave Equation, which includes a magnetic perturbation term κH · L in the energy operator (κ = Bohr’s magneton) can only explain the “normal” Zeeman effect as it occurs in the singlet terms. In order to explain the anomalous Zeeman effect and the multiplet splitting, it thus appears indispensible to assume, in addition to the magnetic moment of the orbital motion, another magnetic moment not depending on the orbital motion. According to the hypothesis of Uhlenbeck and Goudsmit, this moment arises from the so-called spin, i.e. from the angular momentum of the “spinning” electron 1.

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References

  1. For the history of this concept see my article: Spin and Statistics. In: Pauli Memorial Volume (edited by Fierz and Weisskopf) New York: Interscience Publishers 1960.

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  2. W. Pauli: Zur Quantenmechanik des magnetischen Elektrons. Zeitschr. für Physik 43, p. 601 (1927).

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  3. A simpler proof of this theorem was given in footnote 2 of my paper in Math. Zeitschr. 36, p. 781.

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  4. P. A. M. Dirac: The Quantum Theory of the Electron. Proc. Royal Soc. (A) 117, p. 610, and 118, p. 351 (1928).

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  5. S. Flügge: Practical Quantum Mechanics II, Chapter VI. Berlin-Heidelberg-New York: Springer 1971.

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  6. T. D. Lee and C. N. Yang: Parity Non-Conservation and a Two-Component Theory of the Neutrino. Phys. Revue 105, p. 1671 (1957). See also: R. P. Feynman and M. Gell-Mann: Theory of Fermi-Interaction, Phys. Rev. 109, p. 193.

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© 1974 Springer-Verlag Berlin · Heidelberg

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van der Waerden, B.L. (1974). The Spinning Electron. In: Group Theory and Quantum Mechanics. Grundlehren der mathematischen Wissenschaften, vol 214. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-65860-0_4

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  • DOI: https://doi.org/10.1007/978-3-642-65860-0_4

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-65862-4

  • Online ISBN: 978-3-642-65860-0

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