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What Was Born's Statistical Interpretation?

Published online by Cambridge University Press:  21 March 2022

Linda Wessels
Linda Wessels*
Affiliation:
Indiana University
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Extract

When Max Born introduced his statistical interpretation of wave mechanics in mid-1926, the reactions were mixed. His most recent collaborator, Pascual Jordan, was delighted; his former assistant, Werner Heisenberg, was horrified. The interpretation served as grist for Neils Bohr's philosophical mill. For Bohr's former collaborator, John Slater, it inspired a strange hybrid interpretation, a sort of statistical version of Schrödinger's electrodynamic model. What was the interpretation that engendered these varied reactions? Neither Born nor most of his contemporaries saw in it anything that even suggests the interpretation that we now associate with his name. Rather, it was another former assistant of Born's, Wolfgang Pauli, with eyes as sharp as his tongue, who saw in Born's work the idea that |Ψ(q)| represents the probability distribution for position.

Type
Part III. Quantum Theory in Historical Perspective
Information
PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association , Volume 1980 , Issue 2: Volume Two: Symposia and Invited Papers 1980 , 1980 , pp. 187 - 200
Copyright
Copyright © 1981 by the Philosophy of Science Association

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Footnotes

1

This work was supported in part by a grant from the National Science Foundation.

References

Born, Max and Pauli, Wolfgang. (1922). “Über die Quantelung gesöorter mechanischer Systeme.” Zeitschrift für Physik 10: 137-158.CrossRefGoogle Scholar
Born, Max and Pauli, Wolfgang. (1923). “Quantentheorie und Störungsrechnung.” Die Naturwissenschaften 11: 537-542.CrossRefGoogle Scholar
Born, Max and Pauli, Wolfgang. (1924). “Über Quantenmechanik.” Zeitschrift für Physik 26: 379-395. (Translated in Waerden, van der (1967), pp. 181-198.).CrossRefGoogle Scholar
Born, Max and Pauli, Wolfgang and Franck, James. (1925a). “Bemerkungen über Dissipation der Reaktionswärme.” Annalen der Physik 76: 225-230.CrossRefGoogle Scholar
Born, Max and Pauli, Wolfgang. (1925b). “Quantentheorie und Molekulbildung.” Zeitschrift für Physik 31: 411-429.CrossRefGoogle Scholar
Born, Max and Pauli, Wolfgang and Jordan, Pascual. (1925a). “Zur Quantentheorie aperiodischer Vorgänge.” Zeitschrift für Physik 33: 479-505.CrossRefGoogle Scholar
Born, Max and Pauli, Wolfgang. (1925b). “Zur Quantenmechanik.” Zeitschrift für Physik. (As translated in Waerden, van der (1967), pp. 277-306.).Google Scholar
Born, Max and Pauli, Wolfgang, Heisenberg, Werner and Jordan, Pascual. (1925). “Zur Quantenmechanik II.” Zeitschrift für Physik 35: 557-615- (As translated in Waerden, van der (1967), pp. 321-385.).CrossRefGoogle Scholar
Born, Max and Pauli, Wolfgang and Wiener, Norbert. (1926). “Eine neue Formulierung der Quantengesetze für periodische und nichtperiodische Vorgänge. ” Zeitschrift für Physik 36: 174-187; (also printed as “A New Formulation of the Laws of Quantization of Periodic and Aperiodic Phenomena.” Journal of Mathematics and Physics 5 (1925-26): 84-98.).CrossRefGoogle Scholar
Born, Max and Pauli, Wolfgang. (1926a).. “Zur Quantenmechanik der Stossvorgänge.” Zeitschrift ftir Physik 37: 863-867.CrossRefGoogle Scholar
Born, Max and Pauli, Wolfgang . (1926b).“Quantenmechanik der Stossvorgänge.” Zeitschrift für Physik 38: 803-827.CrossRefGoogle Scholar
Born, Max and Pauli, Wolfgang. (1926c). Letter to Gregor Wentzel, 13 December, Archive for the History of Quantum Physics, Reel 66, Section 3, Library of the American Philosophical Society, Philadelphia, Pa.Google Scholar
Courant, Richard and Hilbert, David. (1924). Methoden der mathematischen Physik, Volume I. Berlin: Julius Springer Verlag.CrossRefGoogle Scholar
Elsasser, Walter. (1925). “Bemerkungen zur Quantenmechanik freier Elektronen.” Die Naturwissenschaften 13: 711.CrossRefGoogle Scholar
Franck, James and Jordan, Pascual. (1926). Anregung von Quantensprüngen durch Stösse. Berlin: Julius Springer Verlag.Google Scholar
Heisenberg, Werner. (1925). “Uber quantentheoretische Umdeutung der kinematischer und mechanischer Beziehungen.” Zeitschrift für Physik 33: 879-893.CrossRefGoogle Scholar
Hermann, Armin. (1978). “Max Born.” In Dictionary of Scientific Biography, Supplement I. New York: Charles Scribner's Sons, pp. 33-44.Google Scholar
Hund, Friedrich. (1923). “Theoretische Betrachtungen über die Ablenkung von freien langsamen Elektronen in Atomen.” Zeitschrift für Physik 13: 241-263.CrossRefGoogle Scholar
Hund, Friedrich. (1967). Geschichte der Quantentheorie. Mannheim: Bibliographisches Institut. (trans.) Keece, Gordon. (As reprinted as The History of Quantum Theory. NY: Harper and Row, Barnes and Noble Import Division, 1974.)Google Scholar
Jammer, Max. (1966). The Conceptual Development of Quantum Mechanics. New York: McGraw-Hill Book Co.Google Scholar
Jordan, Pascual. (1927). “Über eine neue Begrtindung der Quantenmechanik.” Zeitschrift für Physik 40: 809-838.CrossRefGoogle Scholar
Konno, Hiroyuki. (1978). “The Historical Roots of Born's Probabilistic Interpretation.” Japanese Studies in the History of Science 17: 129-145.Google Scholar
Pauli, Wolfgang. (1927). “Über Gasentartung und Paramagnetismus.” Zeitschrift für Physik 41: 81-102.CrossRefGoogle Scholar
Slater, John. (1927). “Radiation and Absorption on Schrödinger's Theory.” Proceedings of the National Academy of Science 13: 7-12.CrossRefGoogle Scholar
van der Waerden, B.L. (1967). Sources of Quantum Mechanics. New York: Dover Publications, Inc.Google Scholar
Wiener, Norbert. (1926). “The Operational Calculus,” Mathematische Annalen 95: 557-584.CrossRefGoogle Scholar