Abstract
Heisenberg got to know Wolfgang Pauli soon after starting his studies at the University of Munich in fall 1920. He recalled [1]:
When I walked into the hall where Sommerfeld usually gave his lectures, I spotted a dark-haired student with a somewhat secretive face in the third row. Sommerfeld had introduced us during my first visit and had then told me that he considered this boy to be one of his most talented students, one from whom I could learn a great deal. His name was Wolfgang Pauli, and for the rest of his life he was to be a good friend, though often a very severe critic.
During years of studies under Arnold Sommerfeld, Max Born and Niels Bohr, Heisenberg and Pauli discussed problems of atomic theory, including especially the anomalous Zeeman effects and the helium energy states. After Pauli left Munich in fall 1921 for Göttingen, Copenhagen and then Hamburg, the friends began an intensive correspondence that continued, nearly without interruption, until Pauli’s death in 1958. Many of their letters have been preserved; they allow the reconstruction in some detail of their scientific collaboration over 37 years. It is one of the most active and fruitful collaborations in the whole history of science, whose early part contributed essentially to the first formulation of a consistent quantum mechanics in summer 1925 and, less than two years later, to its physical interpretation.
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References
W. Heisenberg: Physics and Beyond (Harper and Row, New York, Evanston, London 1971) p. 24
The quote from Pauli’s letter to Jordan is from Scientific Correspondence I, p. 386. Jordan indeed was the first person ever to deal with quantum field theoretical problems in quantum mechanics. (See M. Born, W. Heisenberg, P. Jordan: Zur Quantenmechanik. II. Z. Phys. 35, 557–615 (1926); esp. Chapter 4.3; reprinted in Collected Works AI, pp. 399–455, esp. p. 446–455.) Usually, the paper of P.A.M. Dirac on the quantum theory of radiation is quoted as the pioneering paper on quantum field theory: The quantum theory of the emission and absorption of radiation. Proc. Roy. Soc. (London) A114, 243–265 (1927). Both Jordan and Dirac remained most active contributors to the first phase of quantum field theory. See, e.g., J. Schwinger, ed.: Selected Papers on Quantum Electrodynamics (Dover, New York 1958).
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W. Pauli to O. Klein, 18 February 1929 (Scientific Correspondence I, p. 488–489). Oskar Klein also contributed to the early quantum field theory — see his paper with P. Jordan: Zum Mehrkörperproblem der Quantentheorie. Z. Phys. 45, 751–765 (1927).
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W. Heisenberg to N. Bohr, 18 September 1930 (Niels Bohr Archive, Copenhagen)
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See especially the Pauli correspondence in January and February 1934 (Scientific Correspondence II, pp. 265–283). Pauli also followed the later development with critical interest (see Scientific Correspondence II, 1934–1936).
See his letters to Heisenberg, January-May 1937 (Scientific Correspondence II, pp. 500–521).
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M Fierz: Über die relativistische Theorie kräftefreier Teilchen mit beliebigem Spin. Helv. Phys. Acta 12, 3–37 (1939);
W. Pauli, M. Fierz: Über relativistische Feldgleichungen von Teilchen mit beliebigem Spin im elektromagnetischen Feld. Helv. Phys. Acta 12, 297–300 (1939);
On relativistic wave equations for particles of arbitrary spin in an electromagnetic field. Proc. Roy. Soc. (London) A173, 211–232 (1939).
See also the paper W. Pauli, F.J. Belinfante: On the statistical behaviour of known and unknown elementary particles. Physica 7, 177–192 (1940).
A review of the cosmic ray work of Heisenberg has been given by E. Bagge in his annotation to Group 8 (Collected Works AII, pp. 241–249).
W. Heisenberg: Die Grenzen der Anwendbarkeit der bisherigen Quantentheorie. Z. Phys. 110, 251–266 (1938), esp. p. 265; reprinted in Collected Works AII, pp. 315–330
W. Heisenberg: Zur Theorie der explosiven Schauer in der kosmischen Strahlung. II. Z. Phys. 113, 61–86 (1939); reprinted in Collected Works AII, pp. 337–362
Heisenberg to Pauli, 23 April 1939 (Scientific Correspondence II, pp. 634–635)
Pauli to Heisenberg, 10 June 1939 (Scientific Correspondence II, p. 664)
Pauli later published extended versions of his part of the Solvay report in two papers: The connection between spin and statistics. Phys. Rev. (2) 58, 716–722 (1940); Relativistic field theories of elementary particles. Rev. Mod. Phys. 13, 203–232 (1941).
Heisenberg’s part would be reproduced from the manuscript only 45 years after the submission: Bericht über die allgemeinen Eigenschaften der Elementarteilchen. In Collected Works B, pp. 346–358
See the annotation of K. Wirtz to Group 9 of Heisenberg’s papers in Collected Works AII, pp. 365–370.
W. Pauli, S.M. Dancoff: The pseudoscalar meson field with strong coupling. Phys. Rev. (2) 62, 85–108 (1942);
W. Pauli, S. Kusaka: On the theory of a mixed pseudoscalar and a vector field. Phys. Rev. (2) 63, 400–416 (1943);
W. Pauli: On applications of the λ-limiting process to the theory of the meson field. Phys. Rev. (2) 64, 332–344 (1943);
W. Pauli, N. Hu: On the strong coupling case for spin-dependent interaction in scalar- and vector-pair theories. Rev. Mod. Phys. 17, 267–286 (1945)
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P.A.M. Dirac: The physical interpretation of quantum mechanics. Proc. Roy. Soc. (London) A180, 1–40 (1942)
W. Pauli: On Dirac’s new method of field quantization. Rev. Mod. Phys. 15, 175–207 (1943);
W. Pauli, J.M. Jauch: On the application of Dirac’s method of field quantization to the problem of emission of low energy photons. Phys. Rev. (2) 65, 255–256 (1944);
W. Pauli: Dirac’s Feldquantisierung und Emission von Photonen kleiner Frequenz. Helv. Phys. Acta 19, 234–237 (1946)
He especially organized at the Kaiser Wilhelm-Institut für Physik seminars on cosmic ray physics, which analyzed and summarized the recent data and theories. These review talks were collected in a book, Kosmische Strahlung (Springer, Berlin 1943), edited by W. Heisenberg. He himself contributed five articles, reprinted in Collected Works B, pp. 365–406.
See the papers to Group 10 and the annotation of R. Oehme in Collected Works AII, pp. 605–713.
The origin and development of S-matrix theory has been discussed by H. Rechenberg: The early S-matrix theory and its propagation (1942–1952). In Pions to Quarks, ed. by L.M. Brown, M. Dresden, L. Hoddeson (Cambridge University Press, Cambridge 1989) pp. 551-578.
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W. Pauli: Difficulties of field theories and of field quantization. In Report of an International Conference on Fundamental Particles and Low Temperatures, Cambridge 1946. Vol. I: Fundamental Particles (The Physical Society, London 1947) pp. 5–9, esp. p. 6
Pauli to Heisenberg, 9 September 1946 (Werner-Heisenberg-Archiv)
S.T. Ma: Redundant zeros in the discrete energy spectra of Heisenberg’s theory of the characteristic matrix. Phys. Rev. (2) 69, 668 (1946)
R. Jost to W. Heisenberg, 27 January 1947 (Werner-Heisenberg-Archiv); R. Jost: Über die falschen Nullstellen der Energieweite der S-Matrix. Helv. Phys. Acta 20, 256–266 (1947). Actually Pauli was quite mistaken in attacking the use of analyticity in S-matrix theory; thus, Ma’s unphysical poles later found a satisfactory physical interpretation (see R. Oehme’s annotation to the S-matrix papers in Collected Works AII, esp. p. 607).
Pauli to Heisenberg, 25 December 1946 (Werner-Heisenberg-Archiv). This and the following letters will be published in Scientific Correspondence III.
Heisenberg to Pauli, 29 April 1948 (Werner-Heisenberg-Archiv)
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W. Pauli, F. Villars: On the invariant regularisation in relativistic quantum theory. Rev. Mod. Phys. 21, 434–444 (1949)
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W. Pauli: On the Hamiltonian structure of non-local field theories. Il Nuovo Cimento 10, 648–667 (1953)
W. Heisenberg, ed.: Kosmische Strahlung (Springer, Berlin, Göttingen, Heidelberg 1953)
See the papers presented in Group 11 of this volume and the annotation of H. Koppe, and the second part of the papers collected in Group 1 and annotated by S. Chandrasekhar in Collected Works AII.
See the papers presented in Group 12 of this volume and the annotation by R. Hagedorn.
G. Källén, W. Pauli: On the mathematical structure of T.D. Lee’s model of a renormalizable field theory. Kgl. Danske Videnskab. Selskab, Math.-Fys. Medd. 30, No. 7 (1955)
W. Heisenberg: Physics and Beyond, Ref. 1, p. 233
W. Heisenberg, Ref. 1, p. 234
W. Heisenberg, Ref. 1, p. 234–235
W. Heisenberg, Ref. 1, pp. 235–236
W. Heisenberg, Ref. 1, p. 236
D. Cassidy: Cosmic ray showers, high energy physics, and quantum field theories: Programmatic interactions in the 1930s. Hist. Stud. Phys. Sci. 12, 1–39 (1981)
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Rechenberg, H. (1993). Heisenberg and Pauli: Their Program of a Unified Quantum Field Theory of Elementary Particles (1927–1958). In: Blum, W., Dürr, HP., Rechenberg, H. (eds) Original Scientific Papers / Wissenschaftliche Originalarbeiten. Gesammelte Werke / Collected Works, vol A / 3. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-70079-8_1
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