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Wolfgang Pauli. Spin and Sarcasm

Helge Kastrup, Jeffry V. Mallow A

Published Sep 27, 2022• 0 citations
Publisher

Abstract

Atomic spectra had twice as many lines as predicted. As a solution, two young physicists, George Uhlenbeck and Samuel Goudsmit, proposed that in addition to orbiting its nucleus, an electron “spins” around its axis. (Not really, but the idea works.) Wolfgang Pauli showed that the spin could only have two opposing orientations. This could account for all of the lines. He further proposed an “Exclusion Principle”: that no electrons could be described by all the same quantum numbers, otherwise atoms (and we) could not exist. In 1930, he predicted the existence of a new particle, the neutrino, which was not observed until 26 years later. In addition to contributions to quantum mechanics, Pauli was famous for nasty remarks. A couple of gems:“This paper is so bad it is not even wrong.”“I don't mind your thinking slowly; I mind your publishing faster than you think.”

DOI
10.1063/9780735421721_012

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Cambridge University Press eBooks•Aug 4, 2005•1 citation
Atomic spectra had twice as many lines as predicted. As a solution, two young physicists, George Uhlenbeck and Samuel Goudsmit, proposed that in addition to orbiting its nucleus, an electron “spins” around its axis. (Not really, but the idea works.) Wolfgang Pauli showed that the spin could only have two opposing orientations. This could account for all of the lines. He further proposed an “Exclusion Principle”: that no electrons could be described by all the same quantum numbers, otherwise atoms (and we) could not exist. In 1930, he predicted the existence of a new particle, the neutrino, which was not observed until 26 years later. In addition to contributions to quantum mechanics, Pauli was famous for nasty remarks. A couple of gems:“This paper is so bad it is not even wrong.”“I don't mind your thinking slowly; I mind your publishing faster than you think.”
‘Spin’ considers the movement of electrons orbiting around the nucleus of an atom. Physicists such as Wolfgang Pauli, Pieter Zeeman, Ralph Kronig, George Uhlenbeck, Samuel Goudsmit, Llewellyn Thomas, Otto Stern, and Walther Gerlach spent many years trying to solve the puzzle of electron spin through different experiments. The mathematical theory of spin began to be developed in the 1920s, but it was the work of Paul Dirac in 1928 that solved the problem. By fusing relativity and quantum mechanics, the two great products of the early 20th-century revolution in physics, Dirac had assembled an equation that describes the origin of spin, the fundamental element of the magnetism of the electron.
The history of the exclusion principle is already an old one, but its conclusion has not yet been written. It is now eighty years since Wolfgang Pauli introduced an ‘extremely natural’ prescriptive rule, while dealing with some spectroscopic anomalies that beset physicists in the heyday of the old quantum theory. The rule excluded the possibility that any two bound electrons in an atom were in the same dynamic state, identified by a set of four quantum numbers. Hence the name of Ausschlieβungsregel (exclusion rule), or Pauli's Verbot (Pauli's veto) as Werner Heisenberg nicknamed it. The far-reaching physical significance of this rule became clear only later. From spectroscopy to atomic physics, from quantum field theory to high-energy physics, there is hardly another scientific principle that has more far-reaching implications than Pauli's exclusion principle. It is thanks to Pauli's principle that one obtains the electronic configurations underlying the classification of chemical elements in Mendeleev's periodic table as well as atomic spectra. To this same principle we credit the statistical behaviour of any half-integral spin particles (protons, neutrons, among many others) and the stability of matter. Shifting to high-energy physics, it is the exclusion principle that fixes the crucial constraint for binding quarks in hadrons, which together with leptons compose our physical world. This book advances a philosophical analysis of the enduring and far-reaching validity of Pauli's principle. It does not aim to address what a scientific principle is.
Abstract We have seen in the preceding episode that early in 1925 Pauli attributed to the electron a ‘classically not describable two-valuedness’. Within a few months this property of the electron was given a physical description which, it is true, is not satisfactory from the viewpoint of classical physics. This description is regarded as the discovery of the intrinsic angular momentum or spin of the electron. In fact the description was given twice. Already in January Kronig discussed it with Pauli who was completely opposed to the idea so that Kronig did not publish it. The concept of the electron spin was independently proposed and published [1] by Uhlenbeck and Goudsmit who thus became the discoverers of spin.
Despite the success of Schrödinger’s description of the H-atom, it became apparent that the spectrum of the simplest multi-electron atom—helium—could not be so readily explained. And the spectra of other atoms showed ‘anomalous’ splitting in a magnetic field. In 1920 Sommerfeld introduced a fourth quantum number. A few years later Pauli was led to the inspired conclusion that the electron must have a curious ‘two-valuedness’ characterized by a quantum number of ½, and went on to discover the exclusion principle. Perhaps this is because the electron possesses a self-rotation, leading to the notion of electron spin, potentially explaining why each orbital can accommodate only two electrons. Heisenberg traced this behaviour back to the symmetry properties of the wavefunctions. By observing which transitions in the spectrum of helium are allowed and which are forbidden, we can deduce the generalized Pauli principle, from which the exclusion principle follows.
Prologue: 'Not even wrong'The physicist Wolfgang Pauli was, with Heisenberg, Schrödinger and Dirac, one of the early leaders in the development of quantum mechanics.He was renowned for being a tough audience, exclaiming 'wrong' (falsch), or 'completely wrong' (ganz falsch) when he disagreed with a speaker.Near the end of his life, when asked his opinion of a recent article by a younger physicist, he sadly said 'it is not even wrong' (Das ist nicht einmal falsch) . . .A scientific idea is 'not even wrong' if it is so incomplete that it cannot be used to make predictions that could be compared to observations to see if the idea is wrong.
The exclusion principle was the final outcome of Pauli's struggle to understand some spectroscopic anomalies in the early 1920s: doublets were observed in the spectra of alkali metals, singlets and triplets in the spectra of the alkaline earths, and even more anomalous patterns were observed when chemical elements were placed in an external magnetic field (anomalous Zeeman effect and Paschen–Back effect). These anomalous spectra challenged the old quantum theory, and prompted a radical theoretical change (Section 2.1). From 1920 to 1924 Alfred Landé, Werner Heisenberg, and Niels Bohr were all engaged in trying to save the traditional spectroscopic model (the so-called atomic core model) and to reconcile it with the observed anomalies. The impasse was solved only with Pauli's introduction of a fourth degree of freedom for the electron, and the consequent demise of the atomic core model (Section 2.2). What Pauli called the ‘twofoldness’ [ Zweideutigkeit ] of the electron's angular momentum was soon reinterpreted as the electron's spin (Section 2.3). Pauli's exclusion rule was announced in this semi-classical spectroscopic context that characterized the revolutionary transition from the old quantum theory to the new quantum theory around 1925. The prehistory of Pauli's exclusion principle Atomic spectra and the Bohr–Sommerfeld theory of atomic structure The existence of spectral lines had been known to scientists since the beginning of the nineteenth century when Wollaston and Fraunhofer first observed the dark absorption lines in the spectrum of the Sun.