The position of atomic particles in the foundational papers of Quantum Mechanics, 1925-1927

Authors

  • Enric Pérez Canals Universidad de Barcelona
  • Blai Pié i Valls Universitat de Barcelona

DOI:

https://doi.org/10.35588/cc.v4i1.6127

Keywords:

electron, wave-particle duality, atomism, Heisenberg, Schrödinger

Abstract

We present an introductory study of the role of the particle concept in the foundational papers of quantum mechanics. We focus on the period, 1925-1927, which includes the analysis of the first papers by Heisenberg, Born, Jordan, Schrödinger and Dirac, and also the first formulation of Bohr's complementarity. Our aim is to discuss to what extent the concept of particle was questioned among the creators of the new theory, just at the time of its creation and when there was still no agreed or established interpretation. Subsequent developments, such as quantum field theory, put the validity of this concept under suspicion. We show that a historiographical analysis articulated by means of this concept makes it possible to characterize the relationship that the different authors of quantum mechanics maintained with the visualization of atomic processes. In some cases, such as that of Heisenberg, their evolution is particularly significant. Likewise, we will also quote some fragments where the authors considered claim for themselves the legacy of the old quantum theory, trying to legitimize their own developments on the basis of their coherence with the first discoveries of Planck, Einstein or De Broglie. From practically all of them we have found texts in this sense.

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References

Bacciagaluppi, G. y Valentini, A. (2009). Quantum theory at the crossroads. Reconsidering the 1927 Solvay conference. Cambridge University Press. https://doi.org/knd3

Beller, M. (1990) Born’s probabilistic interpretation: a case study of ‘concepts in flux’. Historical Studies in the History and Philosophy of Science, 21: 563-588. https://doi.org/b3pj9b

Beller, M. (1999). Quantum dialogue. The making of a revolution. University of Chicago Press.

Bitbol, M. (1996). Schrödinger’s philosophy of quantum mechanics. Kluwer.

Born, M. (1926a). Zur Quantenmechanik der Stoβvorgänge. Zeitschrift für Physik, 37: 863-867. Versión inglesa en (Wheeler y Zurek, 1983, pp.52-55). https://doi.org/fq5wd4

Born, M. (1926b). Quantenmechanik der Stoβvorgänge. Zeitschrift für Physik, 38: 803-827. Versión (parcial) inglesa en (Ludwig, 1968, pp.206-225). https://doi.org/bgkhgn

Born, M. (1927). Quantenmechanik und Statistik. Die Naturwissenschaften, 15: 238-242. Reimpreso en (Born, 1963, pp.299-309). https://doi.org/d2zg28

Born, M. (1963). Ausgewählte Abhandlungen. Vol. 2. Vandenhoeck & Ruprecht.

Born, M. y Jordan, P. (1925). Zur Quantenmechanik. Zeitschrift für Physik, 34: 858-888. Versión inglesa en (Van der Waerden, 1967, p.277-306). https://doi.org/frq9nn

Born, M., Heisenberg, W. y Jordan, P. (1925). Zur Quantenmechanik. II. Zeitschrift für Physik, 36: 557-615. Versión inglesa en (Van der Waerden, 1967, pp.321-385). https://doi.org/fbmkz7

Camilleri, K. (2008). Heisenberg and the interpretation of quantum mechanics. Cambridge University Press.

Chalmers, A. (2009) The scientist’s atom and the philosopher’s stone. Dordrecht. https://doi.org/d6jfbv

Davies, P. C. W. (1984). Particles do not exist. En Christensen, S. M. y De Witt, B. S. (Eds). Quantum theory of gravity: essays in honor of the 60th birthday of Bryce S. De Witt (pp.66-77). Adam Hilger.

Dirac, P. A. M. (1925). The fundamental equations of quantum mechanics. Proceedings of the Royal Society (London), A109: 642-653. Reimpreso en (Van der Waerden, 1967, pp.307-320). https://doi.org/c6bfrz

Dirac, P. A. M. (1926a). Quantum mechanics and a preliminary investigation of the hydrogen atom. Proceedings of the Royal Society (London), A110: 561-579. Reimpreso en (Van der Waerden, 1967, pp.417-427). https://doi.org/bt4xhk

Dirac, P. A. M. (1926b). On the theory of quantum mechanics. Proceedings Royal Society of London, A112: 661-677. Reimpreso en (Dirac, 1995, pp.179-195). https://doi.org/dcfn3r

Dirac, P. A. M. (1995). The collected works of P.A.M. Dirac. Cambridge University Press.

Duncan, A. y Janssen, M. (2019). Constructing Quantum Mechanics. Oxford University Press. https://doi.org/knkx

Forman, P. (1971). Weimar culture, causality, and quantum theory: adaptations by German physicists and mathematicians to a hostile environment. Historical Studies in the Physical Sciences, 3, 1-115. https://doi.org/j7pr

Freire Junior, Olival (2019). David Bohm. A life dedicated to understanding the quantum world. Springer. https://doi.org/j8pb

Heisenberg, W. (1925). Über die quantentheorische Umdeutung kinematischer und mechanischer Beziehungen. Zeitschrift für Physik, 33: 879-893. Versión inglesa en (Van der Waerden, 1967, pp.261-276). https://doi.org/fc46xv

Heisenberg, W. (1926a). Mehrkörperproblem und Resonanz in der Quantenmechanik. Zeitschrift für Physik, 38: 411-426. https://doi.org/ctt5db

Heisenberg, W. (1926b). Quantenmechanik. Die Naturwissenschaften, 45: 989-994. https://doi.org/cf972g

Heisenberg, W. (1927). Über den anschaulischen Inhalt der quantenteoretischen Kinematik und Mechanik. Zeitschrift für Physik, 43: 172-198. Versión inglesa en (Wheeler y Zurek, 1983, pp.62-84). https://doi.org/bnv7xn

Hobson, A. (2013). There are no particles, there are only fields. American Journal of Physics, 81: 211-223. https://doi.org/f43mwj

Jammer, M. (1966). The conceptual development of quantum mechanics. McGraw Hill.

Jammer, M. (1974). The philosophy of quantum mechanics. Wiley & Sons.

Jordan, P. (1927a). Philosophical Foundations of Quantum Theory. Nature, 119: 566-569. https://doi.org/c3x7st

Jordan, P. (1927b). Die Entwicklung der neuen Quantenmechanik. Die Naturwissenschaften, 15: 638. https://doi.org/dtkzbz

Jordan, P. (1927c). Über quantenmechanische Darstellung von Quantensprüngen. Zeitschrift für Physik, 40: 661. https://doi.org/cpqw8z

Ludwig, G. (1968). Wave mechanics. Pergamon.

Navarro, L. (2020). El desconocido Albert Einstein. Tusquets.

Pauli, W. (1926). Über das Wasserstoffspektrum vom Standpunkt der neuen Quantenmechanik. Zeitschrift für Physik, 36: 336-363. Versión inglesa en (Van der Waerden, 1967, pp.387-415). https://doi.org/cqwdnp

Pauli, W. (1927). Über Gasentartung und Paramagnetismus. Zeitschrift für Physik, 41: 81-102. https://doi.org/dsh2nt

Pauli, W. (1979). Wissenschaftlicher Briefwechsel mit Bohr, Einstein, Heisenberg u.a. Band I: 1919-1929. Springer. https://doi.org/bkxcch

Pérez, E. y Ibáñez, J. (2022). Indistinguishable elements in the origins of quantum statistics. The case of Fermi-Dirac statistics. European Physical Journal H, 47: 1. https://doi.org/j7t5

Pié i Valls, B. y Pérez, E. (2014). L’àtom de Schrödinger. Comprendre, 16/2: 5-28.

Rosenfeld, L. (1971). Men and ideas in the history of atomic theory. Archive for History of Exact Sciences, 7: 69-90. https://doi.org/c5vnx6

Sánchez Ron, J. M. (2001). Historia de la física cuántica, I. El periodo fundacional. Crítica; 2001.

Schrödinger, E. (1926a). Zur Einsteinschen Gastheorie. Physikalische Zeitschrift, 27: 95-101.

Schrödinger, E. (1926b). Quantisierung als Eigenwertproblem. [Erste Mitteilung]. Annalen der Physik, 79: 361-376. Versión inglesa en (Schrödinger, 1982, pp.1-12). https://doi.org/fpcg9z

Schrödinger, E. (1926c). Quantisierung als Eigenwertproblem. [Zweite Mitteilung]. Annalen der Physik, 79: 489-527. Versión inglesa en (Schrödinger, 1982, p.25). https://doi.org/c5zt2n

Schrödinger, E. (1926d). Über das Verhältnis der Heisenberg-Born-Jordanschen Quantenmechanik zu der meinen. Annalen der Physik, 79: 734-756. Versión inglesa en (Schrödinger, 1982, p.46). https://doi.org/b5s6db

Schrödinger, E. (1926e). Quantisierung als Eigenwertproblem. [Vierte Mitteilung]. Annalen der Physik, 81: 109-139. Versión inglesa en (Schrödinger, 1982, p.120). https://doi.org/d5tw86

Schrödinger, E. (1927a). Über den Comptoneffekt. Annalen der Physik, 82: 257-264. Versión inglesa en (Schrödinger, 1982, pp.124-129). https://doi.org/dd6vp7

Schrödinger, E. (1927b). Energieastausch nach der Wellenmechanik. Annalen der Physik, 83: 956-968. Versión inglesa en (Schrödinger, 1982, pp.137-146). https://doi.org/bngh6h

Schrödinger, E. (1975). ¿Qué es una partícula elemental?. En ¿Qué es una ley de la naturaleza? (164-191). Fondo de Cultura Económica.

Schrödinger, E. (1982). Collected papers on wave mechanics. Chelsea Publishing Company.

Seth, S. (2010). Crafting the quantum: Arnold Sommerfeld and the practice of theory, 1890-1926. MIT press.

Smith, G. E. y Seth, R. (2020). Brownian motion and molecular reality. A study in theory-mediated measurement. Oxford University Press. https://doi.org/knkp

Solvay (1928). Électrons et photons. Rapports et discussions du cinquième conseil de physique tenu à Bruxelles du 24 au 29 octobre 1927. Gauthier-Villars et Cie.

Van der Waerden, B. L. (1967). Sources of quantum mechanics. Dover.

Wheaton, B. R. (1991). The tiger and the shark: empirical roots of wave-particle dualism. Cambridge University Press.

Wheeler, J. A. y Zurek, W. H. (1983). Quantum Theory and Measurement. Princeton University Press. https://doi.org/j7pq

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Published

2023-07-31

How to Cite

The position of atomic particles in the foundational papers of Quantum Mechanics, 1925-1927. (2023). Culturas Científicas, 4(1), 35-52. https://doi.org/10.35588/cc.v4i1.6127