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Volumn 18, Issue 3, 1980, Pages 155-180

Weimar culture and quantum causality

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EID: 84965874352     PISSN: 00732753     EISSN: 17538564     Source Type: Journal    
DOI: 10.1177/007327538001800301     Document Type: Article
Times cited : (32)

References (110)
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    • Weimar culture, causality, and quantum theory, 1918–1927: Adaptation by German physicists and mathematicians to a hostile intellectual environment
    • I shall refer to this paper as. I should like to thank Paul Forman for discussing his work in correspondence with me, and Jon Dorling, John Schuster, Bob Westman and seminar groups in Cambridge and at the Open University for many stimulating discussions.
    • Forman Paul, “Weimar culture, causality, and quantum theory, 1918–1927: Adaptation by German physicists and mathematicians to a hostile intellectual environment”. Historical studies in the physical sciences, iii (1971), 1–116, p. 3. I shall refer to this paper as Weimar. I should like to thank Paul Forman for discussing his work in correspondence with me, and Jon Dorling, John Schuster, Bob Westman and seminar groups in Cambridge and at the Open University for many stimulating discussions.
    • (1971) Historical studies in the physical sciences , vol.iii , pp. 1-116
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    • challenged Forman's claims in an address to the British Society for the History of Science in July, but this has not been published. London, ), ch. 6, rejects Forman's thesis on the grounds that the physicists did not split along clear ideological lines.
    • Dorling J. challenged Forman's claims in an address to the British Society for the History of Science in July 1976, but this has not been published. Laqueur W., Weimar, a cultural history 1918–1933 (London, 1974), ch. 6, rejects Forman's thesis on the grounds that the physicists did not split along clear ideological lines.
    • (1976) Weimar, a cultural history 1918–1933
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    • This picture of the milieu, which is in fundamental agreement with Forman's, is based largely on the historical studies he cites: Berlin, Munich, New York, ); and especially Cambridge, Mass., ). See also Princeton,. (ref. 2).
    • This picture of the milieu, which is in fundamental agreement with Forman's, is based largely on the historical studies he cites: Lukács G., Die Zerstörung der Vernunft (Berlin, 1954); Sontheimer K., Antidemokratisches Denken in der Weimarer Republik (Munich, 1952); Gay P., Weimar culture (New York, 1968); and especially Ringer F., The decline of the German mandarins (Cambridge, Mass., 1969). See also Lebovics H., Social conservatism and the middle class in Germany, 1914–1933 (Princeton, 1969), and Laqueur W., op. cit. (ref. 2).
    • (1954) Die Zerstörung der Vernunft
    • Lukács, G.1    Sontheimer, K.2    Gay, P.3    Ringer, F.4    Lebovics, H.5    Laqueur, W.6
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    • In Spengler's, the term ‘Western’ is ambiguous, relating on one hand to the overall decline of Western civilization, in which Germany is included, and on the other hand to the decline of Western, or non-German, ideals within that civilization. In general usage, however, it had simply the latter, derogatory meaning, and it was on this meaning that the polemic value of Spengler's work rested; indeed the rejection of ‘Western’ in favour of German values was perhaps the central feature of the Weimar milieu.
    • In Spengler's The decline of the West, the term ‘Western’ is ambiguous, relating on one hand to the overall decline of Western civilization, in which Germany is included, and on the other hand to the decline of Western, or non-German, ideals within that civilization. In general usage, however, it had simply the latter, derogatory meaning, and it was on this meaning that the polemic value of Spengler's work rested; indeed the rejection of ‘Western’ in favour of German values was perhaps the central feature of the Weimar milieu.
    • The decline of the West
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    • See. (ref. 10). Mathematics had become established in the school curriculum only toward the end of the nineteenth century.
    • See Ringer, op. cit. (ref. 10). Mathematics had become established in the school curriculum only toward the end of the nineteenth century.
    • op. cit
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    • Die Revolution in der Wissenschaft
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    • See especially Troeltsch E., “Die Revolution in der Wissenschaft”, Schmollers Jahrbuch, xlv (1921), 1001–30.
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    • Only the style of the debate may be put down with some confidence to the milieu: See
    • Only the style of the debate may be put down with some confidence to the milieu: See Forman, Weimar, 61.
    • Weimar , pp. 61
    • Forman1
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    • See. (ref. 18), esp. sect. xi.
    • See Forman, Weimar, 30–37; Spengler, op. cit. (ref. 18), esp. sect. xi.
    • Weimar , pp. 30-37
    • Forman1    Spengler2
  • 17
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    • sect, xi, esp. pp. of translation.
    • ibid., sect, xi, esp. pp. 380 ff. of translation.
    • ibid , pp. 380
  • 18
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    • It is noticeable that the historians of the Weimar milieu (. (ref. 10)) all exclude science from their considerations; (preface) and (ch. 6) treat it explicitly as isolated from the milieu.
    • It is noticeable that the historians of the Weimar milieu (op. cit. (ref. 10)) all exclude science from their considerations; Gay, Weimar culture (preface) and Laqueur, Weimar (ch. 6) treat it explicitly as isolated from the milieu.
    • Weimar
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    • The exception here would appear to be Doetsch: See
    • The exception here would appear to be Doetsch: See Forman, Weimar, 52.
    • Weimar , pp. 52
    • Forman1
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    • Concerning the repercussions, see for example Pauli to Bohr, 31 December, where Sommerfeld's department is referred to jokingly as an institute for number mysticism:, i, ed. by New York, ), letter no. 79.
    • ibid., 49–50. Concerning the repercussions, see for example Pauli to Bohr, 31 December 1924, where Sommerfeld's department is referred to jokingly as an institute for number mysticism: Pauli W., Wissenschaftlicher Briefwechsel, i, ed. by Herman A., (New York, 1979), letter no. 79.
    • (1924) ibid. , pp. 49-50
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    • Einstein to Born, 27 January English translation in New York, ), letter no. 13.
    • Forman, Weimar, 71–72; Einstein to Born, 27 January 1920; English translation in Born M. & Einstein, The Born-Einstein letters (New York, 1971), letter no. 13.
    • (1920) The Born-Einstein letters , pp. 71-72
    • Forman1    Born, M.2    Einstein3
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    • This conviction was apparently shared then by Born: See New York, ), and Einstein to Mrs Born, 1 September, letter no. 9 of. (ref. 27).
    • This conviction was apparently shared then by Born: See Born M., Physics in my generation (New York, 1956), and Einstein to Mrs Born, 1 September 1919, letter no. 9 of op. cit. (ref. 27).
    • (1956) Physics in my generation
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    • See Born's notes to the letter in. (ref. 27), and New York, for the technical background to this work.
    • See Born's notes to the letter in op. cit. (ref. 27), and Jammer M., The conceptual development of quantum mechanics (New York, 1966), 133–4, for the technical background to this work.
    • (1966) The conceptual development of quantum mechanics , pp. 133-134
    • Jammer, M.1
  • 26
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    • The German original of Einstein's statement is, however, “Ich verzichte aber sehr sehr ungern auf die Kausalität”, and this appears to allow for no such ambiguity.
    • The German original of Einstein's statement is, however, “Ich verzichte aber sehr sehr ungern auf die vollständige Kausalität”, and this appears to allow for no such ambiguity.
    • vollständige
  • 27
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    • (ref. 3). Sommerfeld's name is simply included among those of the “converts” in a summary of Forman's previous conclusions.
    • Forman, op. cit. (ref. 3). Sommerfeld's name is simply included among those of the “converts” in a summary of Forman's previous conclusions.
    • op. cit
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    • Indeterminacy before Heisenberg: The case of Franz Exner and Erwin Schrödinger
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    • Exner F., Vorlesungen über die physikalischen Grundlagen der Naturwissenschaften (Vienna, 1919); Forman, Weimar, 74–76; Hanle P., “Indeterminacy before Heisenberg: The case of Franz Exner and Erwin Schrödinger”, Historical studies in the physical sciences, x (1979), 225–70.
    • (1919) Vorlesungen über die physikalischen Grundlagen der Naturwissenschaften , vol.x , pp. 74-76
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    • Nernst W., “Zum Gültigkeitsbereich der Naturgestze”, Die Naturwissenschaften, x (1922), 489–495, pp. 494–5; Forman, Weimar, 85–86.
    • (1922) Die Naturwissenschaften , vol.x , pp. 489-495
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    • Non-Newtonian mechanical systems and Planck's theory of radiation
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    • Jeans J. H., “Non-Newtonian mechanical systems and Planck's theory of radiation”, Philosophical magazine, xx (1910), 943–954; Poincaré H., “L'hypothèse des quanta”, in his Dernières pensées (Paris, 1913), 75–76.
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    • (ref. 28), had thought his suggestion would be acceptable to the determinist Planck and there can be no doubt that he, like Jeans, intended no challenge to the causality principle. Jammer supports his assertion by citing Poincaré's discussion of the role of chance in physics in, but we should note that Poincaré then defined chance as a “complex assemblage of causes”, Paris
    • Jammer, op. cit. (ref. 28), 171. Poincaré had thought his suggestion would be acceptable to the determinist Planck and there can be no doubt that he, like Jeans, intended no challenge to the causality principle. Jammer supports his assertion by citing Poincaré's discussion of the role of chance in physics in 1904, but we should note that Poincaré then defined chance as a “complex assemblage of causes”, Poincaré H., La valeur de science (Paris, 1904), 110.
    • (1904) La valeur de science , pp. 171
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    • (1912) Annalen der Physik , vol.xxxvii , pp. 642-656
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    • On the constitution of atoms and molecules
    • Bohr N., “On the constitution of atoms and molecules”. Philosophical magazine, xxvi (1913), 1–25, 476–502, 857–75.
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    • Einstein A., “Zur Quantentheorie der Strahlung”, Physikalische Zeitschrift, xviii (1917), 121–8.
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    • The development of attitudes to the wave-particle duality of light and quantum theory, 1900–1920
    • Despite considerable evidence in support of the need for discrete and localized absorption of light—and hence for the existence of light-quanta—the evidence in support of the wave theory was overwhelming, and rather than incorporating a fundamental contradiction in their theories physicists naturally preferred to stick to the established theory: This may have been limited in application, but it was at least consistent. On this and the wave-particle issue in general see
    • Despite considerable evidence in support of the need for discrete and localized absorption of light—and hence for the existence of light-quanta—the evidence in support of the wave theory was overwhelming, and rather than incorporating a fundamental contradiction in their theories physicists naturally preferred to stick to the established theory: This may have been limited in application, but it was at least consistent. On this and the wave-particle issue in general see Hendry J., “The development of attitudes to the wave-particle duality of light and quantum theory, 1900–1920”, Annals of science, xxvii (1980), 59–79.
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    • Interview with, Sources for history of quantum physics archive: See American Philosophical Society, Philadelphia,. Heisenberg's reference was to the physicists at Munich (under Sommerfeld) and later at Göttingen (under Born and Frank).
    • Interview with Heisenberg W., 1963, Sources for history of quantum physics archive: See Kuhn T., Sources for history of quantum physics (American Philosophical Society, Philadelphia, 1967), 10, 101. Heisenberg's reference was to the physicists at Munich (under Sommerfeld) and later at Göttingen (under Born and Frank).
    • (1963) Sources for history of quantum physics , pp. 10
    • Heisenberg, W.1    Kuhn, T.2
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    • manuscript draft of a critique on the foundations of physics ( July. (ref. 45)), microfilm. See also Darwin to Bohr, 20 July, and Bohr to Darwin, July., bsc 1, 4.
    • Darwin C. G., manuscript draft of a critique on the foundations of physics (July 1919), Sources for history of quantum physics (op. cit. (ref. 45)), microfilm 36, 3. See also Darwin to Bohr, 20 July 1919, and Bohr to Darwin, July 1919, ibid., bsc 1, 4.
    • (1919) Sources for history of quantum physics , vol.36 , pp. 3
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    • Writing to Bohr, 20 July., Darwin found the “case against energy conservation quite overwhelming”.
    • Writing to Bohr, 20 July 1919, ibid., Darwin found the “case against energy conservation quite overwhelming”.
    • (1919) ibid
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    • Bohr to Darwin, July
    • Bohr to Darwin, July 1919, ibid.
    • (1919) ibid.
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    • On the quantum theory of line spectra, part I
    • ser. 8,. (ref. 29), found the terminology sufficiently provocative to interpret “spontaneous” as “acausal”, but Bohr himself later defined it as “without any assignable external stimulation”, leaving plenty of room for causes internal or as yet unknown
    • Bohr N., “On the quantum theory of line spectra, part I”, Kongelige Danske Videnskabernes Selkabs Skrifter, ser. 8, iv, i (1918–1922), 1–118, p. 7. Jammer op. cit. (ref. 29), 114, found the terminology sufficiently provocative to interpret “spontaneous” as “acausal”, but Bohr himself later defined it as “without any assignable external stimulation”, leaving plenty of room for causes internal or as yet unknown: Bohr N., “On the application of the quantum theory to atomic structure: Part I, The fundamental postulates”, Supplement to Proceedings of the Cambridge Philosophical Society (1924), 24.
    • (1918) Kongelige Danske Videnskabernes Selkabs Skrifter , vol.iv , pp. 1-118
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    • Das Verhältnis der kausalen zur statistischen Betrachtungsweise in der Physik
    • 4th ed. (Berlin
    • Forman, Weimar, 76–80; Weyl H., “Das Verhältnis der kausalen zur statistischen Betrachtungsweise in der Physik”, Schweizerische Medizinische Wochenschrift, 1 (1920), 737–41, and Raum-Zeit-Materie, 4th ed. (Berlin, 1921), 283–4.
    • (1920) , vol.1 , pp. 76-80
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    • See, footnote 176. Weyl was primarily a mathematician, using philosophical ideas for inspiration (on the foundations of mathematics) and for connecting mathematical results (of his unified theory) to the properties actually found in the physical world. See ref. 61 below.
    • See Forman, Weimar, 76, footnote 176. Weyl was primarily a mathematician, using philosophical ideas for inspiration (on the foundations of mathematics) and for connecting mathematical results (of his unified theory) to the properties actually found in the physical world. See ref. 61 below.
    • Weimar , pp. 76
    • Forman1
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    • Reine Infinitessimalgeometrie
    • idem, Berlin, ). In progressing from the special to the general theory of relativity, Einstein had abandoned the assumption of Euclidean geometry that the directions of vectors at different points in space-time could be directly compared; in the Riemannian geometry that resulted, the relative direction of vectors at two points became dependent on the choice of paths joining the points, and the parameters defining this choice associated with those of the gravitational field. In Weyl's theory, the same argument was applied also to the lengths of the vectors, and the parameters appropriate to this further degree of freedom were identified with those of the electromagnetic field.
    • Weyl H., “Reine Infinitessimalgeometrie”, Mathematische Zeitschrift, ii (1918), 384–411; idem, “Gravitation und Elektrizität”, Sitzungsberichte der Preussischen Akademie der Wissenschaften (1918), 465–80; idem, “Eine neue Erweiterung der Relativitätstheorie”, Annalen der Physik, lix (1919), 101–33; idem, Raum-Zeit-Materie (Berlin, 1918). In progressing from the special to the general theory of relativity, Einstein had abandoned the assumption of Euclidean geometry that the directions of vectors at different points in space-time could be directly compared; in the Riemannian geometry that resulted, the relative direction of vectors at two points became dependent on the choice of paths joining the points, and the parameters defining this choice associated with those of the gravitational field. In Weyl's theory, the same argument was applied also to the lengths of the vectors, and the parameters appropriate to this further degree of freedom were identified with those of the electromagnetic field.
    • (1918) Mathematische Zeitschrift , vol.ii , pp. 384-411
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    • Zur Theorie der Gravitation und der Elektrizität von Hermann Weyl
    • see also London,. For other responses to Weyl's theory, all of which combine criticism of his physical conclusions with extravagant praise of the underlying mathematical theory, see the letters from Mie to Weyl, 26 October, Einstein to Weyl, 8 March, Sommerfeld to Weyl, 3 July, and Eddington to Weyl, 18 August, all in the archive of the Eigener Technische Hochschule, Zürich.
    • Pauli W., “Zur Theorie der Gravitation und der Elektrizität von Hermann Weyl”, Physikalische Zeitschrift, xx (1919), 457–67; see also Pauli W., Theory of relativity (London, 1958), 206. For other responses to Weyl's theory, all of which combine criticism of his physical conclusions with extravagant praise of the underlying mathematical theory, see the letters from Mie to Weyl, 26 October 1918, Einstein to Weyl, 8 March 1918, Sommerfeld to Weyl, 3 July 1918, and Eddington to Weyl, 18 August 1918, all in the archive of the Eigener Technische Hochschule, Zürich.
    • (1919) Physikalische Zeitschrift , vol.xx , pp. 457-467
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    • “The continuum theories make direct use of the ordinary concept of electric field strength, even for fields in the interior of the electron. This field strength is however defined as the force acting on a test particle, and since there are no test particles smaller than an electron or a hydrogen nucleus, the field strength at a given point in the interior of such a particle would appear to be unobservable by definition, and thus be fictitious and without physical meaning.” This argument, cited from. (ref. 54, was included among Pauli's original criticisms and was referred to by Einstein, writing to Born on 27 January. (ref. 27).
    • “The continuum theories make direct use of the ordinary concept of electric field strength, even for fields in the interior of the electron. This field strength is however defined as the force acting on a test particle, and since there are no test particles smaller than an electron or a hydrogen nucleus, the field strength at a given point in the interior of such a particle would appear to be unobservable by definition, and thus be fictitious and without physical meaning.” This argument, cited from Pauli, op. cit. (ref. 54, 1958), 206, was included among Pauli's original criticisms and was referred to by Einstein, writing to Born on 27 January 1920, op. cit. (ref. 27).
    • (1958) op. cit , pp. 206
    • Pauli1
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    • Weyl to Pauli, 10 May. (ref. 26), letter no. 1.
    • Weyl to Pauli, 10 May 1919, op. cit. (ref. 26), letter no. 1.
    • (1919) op. cit
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    • Weyl to Pauli, 9 December., letter no. 2.
    • Weyl to Pauli, 9 December 1919, ibid., letter no. 2.
    • (1919) ibid
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    • (my translation): “That modern physics which finds no place in ‘lawful’ or ‘field physics’ can still be right. For I am quite convinced that Statistics is something independent, opposed in principle to Causality, to ‘Law’; because it is in general paradoxical to introduce a field as some kind of prior existent. I imagine that the field physics really plays only the role of ‘world geometry’; in matter there is something else different, real which is not causally comprehended, but which is perhaps to be thought of in terms of independent decisions, which we treat in physics through statistical calculation. It is quite possible that we must attribute to this the nature of the difference between past and future, between positive and negative electricity.”
    • ibid. (my translation): “That modern physics which finds no place in ‘lawful’ or ‘field physics’ can still be right. For I am quite convinced that Statistics is something independent, opposed in principle to Causality, to ‘Law’; because it is in general paradoxical to introduce a field as some kind of prior existent. I imagine that the field physics really plays only the role of ‘world geometry’; in matter there is something else different, real which is not causally comprehended, but which is perhaps to be thought of in terms of independent decisions, which we treat in physics through statistical calculation. It is quite possible that we must attribute to this the nature of the difference between past and future, between positive and negative electricity.”
    • ibid
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    • Was ist Materie?
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    • For a full statement of Pauli's philosophical position, which was close to that later adopted by Eddington, see Pauli to Eddington, 20 September. (ref. 26), letter no. 45. We should note also that Weyl's concern with the unidirectionality of time was itself rooted in an internal problem raised by Pauli's analysis,. (ref. 54), of the covariance properties of electrically asymmetric solutions in Weyl's theory under time reversal.
    • For a full statement of Pauli's philosophical position, which was close to that later adopted by Eddington, see Pauli to Eddington, 20 September 1923, op. cit. (ref. 26), letter no. 45. We should note also that Weyl's concern with the unidirectionality of time was itself rooted in an internal problem raised by Pauli's analysis, op. cit. (ref. 54), of the covariance properties of electrically asymmetric solutions in Weyl's theory under time reversal.
    • (1923) op. cit
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    • Unmechanischer Zwang: Pauli, Heisenberg, and the rejection of the mechanical atom, 1923–25
    • See, “The search for a unified field theory and the conceptual origins of quantum mechanics” (typescript in circulation). A hint of Pauli's role is also to be found in
    • See Hendry J., “The search for a unified field theory and the conceptual origins of quantum mechanics” (typescript in circulation). A hint of Pauli's role is also to be found in Serwer D., “Unmechanischer Zwang: Pauli, Heisenberg, and the rejection of the mechanical atom, 1923–25”, Historical studies in the physical sciences, viii (1977), 189–256.
    • (1977) Historical studies in the physical sciences , vol.viii , pp. 189-256
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    • Ueber die gegenwärtige Krise der Mechanik
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    • See. (ref. 42).
    • See Hendry, op. cit. (ref. 42).
    • op. cit
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    • For Millikan's earlier views see. (ref. 42).
    • ibid., 120–130. For Millikan's earlier views see Hendry, op. cit. (ref. 42).
    • op. cit , pp. 120-130
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    • the original English version of paper is reproduced in, iii ( Amsterdam, ): See esp. pp.
    • ibid., 228–47; the original English version of Bohr's paper is reproduced in Bohr N., Collected works, iii (Amsterdam, 1976): See esp. pp. 373–5.
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    • The first phase of the Bohr–Einstein dialogue
    • For Einstein's views on non-conservation and acausality see
    • For Einstein's views on non-conservation and acausality see Klein M. J., “The first phase of the Bohr–Einstein dialogue”, Historical studies in the physical sciences, ii (1970), 1–39.
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    • The effect of electric and magnetic fields on spectral lines
    • (lecture delivered March. (ref. 49, ), completed in November and originally published in, xiii
    • Bohr N., “The effect of electric and magnetic fields on spectral lines”, Proceedings of the Physical Society of London, xxxv (1923), 275–302 (lecture delivered March 1922), and op. cit. (ref. 49, 1924), completed in November 1922 and originally published in Zeitschrift für Physik, xiii (1923), 117–65. Darwin C. G., “A quantum theory of optical dispersion”, Nature, cx (1922), 841, and “The wave theory and the quantum theory”, Nature, cxi (1923), 771–3.
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    • 2nd ed. ( Munich, ), translated as London,. Although many physicists held fast to energy conservation (and Sommerfeld himself was to vacillate on the issue), it should be noted that the writings of Bohr and Sommerfeld were the prime authorities for quantum theory during this period.
    • Sommerfeld A., Atombau und Spektrallinien, 2nd ed. (Munich, 1922), translated as Atomic structure and spectral lines (London, 1923), 253. Although many physicists held fast to energy conservation (and Sommerfeld himself was to vacillate on the issue), it should be noted that the writings of Bohr and Sommerfeld were the prime authorities for quantum theory during this period.
    • (1922) Atombau und Spektrallinien , pp. 253
    • Sommerfeld, A.1
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    • Die Elektronenbahnen im angeregten Heliumatom
    • Born M. & Heisenberg W., “Die Elektronenbahnen im angeregten Heliumatom”, Zeitschrift für Physik, xvi (1923), 229–243; Einstein A. & Ehrenfest P., “Quantentheoretische Bemerkung zum Experiment von Stern und Gerlach”, Zeitschrift für Physik, xi (1922), 31–34.
    • (1923) Zeitschrift für Physik , vol.xvi , pp. 229-243
    • Born, M.1    Heisenberg, W.2    Einstein, A.3    Ehrenfest, P.4
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    • notebook, 10 September. (ref. 45))
    • Schrödinger E., notebook, “Kausalität”, 10 September 1918, Sources for history of quantum physics (op. cit. (ref. 45)), 39, 7.
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    • Schrödinger, E.1
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    • Schrödinger E., “Ueber eine Bemerkenswerte Eigenschaft der Quantenbahnen eines einzelnen Elektrons”, Zeitschrift für Physik, xii (1922), 13–23.
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    • Schrödinger, E.1
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    • Schrödinger to Pauli, 8 November. (ref. 26), letter no. 29.
    • Schrödinger to Pauli, 8 November 1922, op. cit. (ref. 26), letter no. 29.
    • (1922) op. cit
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    • Was ist ein Naturgesetz?
    • Inaugural lecture at Zürich, December
    • Schrödinger E., “Was ist ein Naturgesetz?”, Die Naturwissenschaften, xvii (1929), 9–11: Inaugural lecture at Zürich, December 1922; Forman, Weimar, 87–88.
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    • Schrödinger, E.1    Forman2
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    • (ref. 71),. (ref. 49,. In both cases the qualification, “in the present state of science” was given in respect of the absence of causality.
    • Bohr N., op. cit. (ref. 71), 279, and op. cit. (ref. 49, 1924), 20. In both cases the qualification, “in the present state of science” was given in respect of the absence of causality.
    • (1924) op. cit , pp. 279
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    • quotation following from p.
    • Senftleben H. A., “Zur Grundlagen der Quantentheorie”, Zeitschrift für Physik, xxii (1923), 127–56, quotation following from p. 127.
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    • Senftleben, H.A.1
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    • For Planck's views see op. cit. (ref. 66), 93–114.
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    • What Forman means exactly by the phrase “quasi-crank” (, 98) is unclear, but the “crank” seems to refer to a minor mental breakdown that he suffered in 1924—a common enough occurrence that does not merit the nomenclature. As for the “quasi”, this may be related to the fact that a letter, cited by Forman as being written by Hans Albrecht Senftleben, is catalogued and indexed (incorrectly) in the as being by someone completely different, namely Hermann Senftleben, an experimentalist. To make up for this unfairness, a paper by Hermann is indexed in van der Waerden's book, Amsterdam, ), as being by Hans Albrecht, while, to return to the catalogue, the letter catalogued as by Hermann and in fact by Hans Albrecht is cross-referenced as being by one H. R. Senftleben, who does not, mercifully, exist.
    • What Forman means exactly by the phrase “quasi-crank” (Weimar, 98) is unclear, but the “crank” seems to refer to a minor mental breakdown that he suffered in 1924—a common enough occurrence that does not merit the nomenclature. As for the “quasi”, this may be related to the fact that a letter, cited by Forman as being written by Hans Albrecht Senftleben, is catalogued and indexed (incorrectly) in the Sources for history of quantum physics as being by someone completely different, namely Hermann Senftleben, an experimentalist. To make up for this unfairness, a paper by Hermann is indexed in van der Waerden's book, Sources of quantum mechanics (Amsterdam, 1967), as being by Hans Albrecht, while, to return to the catalogue, the letter catalogued as by Hermann and in fact by Hans Albrecht is cross-referenced as being by one H. R. Senftleben, who does not, mercifully, exist.
    • (1967) Weimar
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    • Bohrs neue Strahlungshypothese und der Energiesatz
    • and Schrödinger to Bohr, 24 May (ref. 45), bsc 16.
    • Schrödinger E., “Bohrs neue Strahlungshypothese und der Energiesatz”, Die Naturwissenschaften, xii (1924), 720–4, and Schrödinger to Bohr, 24 May 1924, Sources for history of quantum physics (ref. 45), bsc 16.
    • (1924) Die Naturwissenschaften , vol.xii , pp. 720-724
    • Schrödinger, E.1
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    • Einstein to Born, 29 April. (ref. 27); see also Einstein to Ehrenfest, 31st May, 12 June, discussed by. (ref. 69)
    • Einstein to Born, 29 April 1924, op. cit. (ref. 27); see also Einstein to Ehrenfest, 31st May 1924, 12 June 1924, discussed by Klein, op. cit. (ref. 69), 33.
    • (1924) op. cit , pp. 33
    • Klein1
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    • The scattering of X-rays
    • Pauli to Bohr, 2 October, and see also Pauli to Sommerfeld, November, 6 December. (ref. 26), letters nos 66, 70, 72. Ehrenfest to Einstein, 9 January, quoted and translated by. (ref. 69),. Sommerfeld's views are contained in the work cited by Compton.
    • Pauli to Bohr, 2 October 1924, and see also Pauli to Sommerfeld, November 1924, 6 December 1924; op. cit. (ref. 26), letters nos 66, 70, 72. Compton A. H., “The scattering of X-rays”, Journal of the Franklin Institute, cxcviii (1924), 61–71, p. 70. van Vleck J. H., “Quantum principles and line spectra”. Bulletin of the National Research Council, liv (1926), 270. Stoner E. C., “The structure of radiation”, Proceedings of the Cambridge Philosophical Society, xxii (1925), 577–94, p. 582. Ehrenfest to Einstein, 9 January 1925, quoted and translated by Klein, op. cit. (ref. 69), 31. Slater J. C., “The nature of radiation”, Nature, cxvi (1925), 278. Sommerfeld's views are contained in the work cited by Compton.
    • (1924) , vol.cxcviii , pp. 61-71
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    • Ueber Quantenmechanik
    • Heisenberg first reported that “I do not really see it as an essential progress”: Heisenberg to Pauli, 4 March. (ref. 26), letter no. 57. He came round to it only after Born had linked it up with a difference equation approach that they (Born and Heisenberg) had been pursuing since the previous autumn, and had taken its technique “independent of the critically important and still disputed framework of that theory”:. For the difference equation approach see. (ref. 63).
    • Heisenberg first reported that “I do not really see it as an essential progress”: Heisenberg to Pauli, 4 March 1924, op. cit. (ref. 26), letter no. 57. He came round to it only after Born had linked it up with a difference equation approach that they (Born and Heisenberg) had been pursuing since the previous autumn, and had taken its technique “independent of the critically important and still disputed framework of that theory”: Born M., “Ueber Quantenmechanik”, Zeitschrift für Physik, xxvi (1924), 379–395, p. 379. For the difference equation approach see Serwer, op. cit. (ref. 63).
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    • Serwer1
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    • (ref. 90). Heisenberg to Pauli, 8 June. (ref. 26), letter no. 62. Ladenburg to Kramers, 31 May (ref. 45), bsc 9, 2 and bsc 10, and see also Ladenburg to Kramers, 8 June., where Einstein's reaction to the new theory is described as “not unfavourable”
    • Kramers H. A., “The law of dispersion and Bohr's theory of spectra”, Nature, cxiii (1924), 673–674, and “The quantum theory of dispersion”, Nature, cxiv (1924), 310. Born, op. cit. (ref. 90). Heisenberg to Pauli, 8 June 1924, op. cit. (ref. 26), letter no. 62. Ladenburg to Kramers, 31 May 1924, Sources for history of quantum physics (ref. 45), bsc 9, 2 and bsc 10, and see also Ladenburg to Kramers, 8 June 1924, ibid., where Einstein's reaction to the new theory is described as “not unfavourable” (nicht ungünstig).
    • (1924) , vol.cxiii , pp. 673-674
    • Kramers, H.A.1
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    • Kramers, Ladenberg, and Reiche were between them responsible for the development of the Bohr dispersion theory prior to the introduction to the new technique, while Born and Heisenberg were able to incorporate this technique into their existing research programme, with considerable effect. Pauli had concerned himself, privately, with the dispersion theory, but had already hinted at innovations more fundamental than those suggested by Bohr: Pauli to Sommerfeld, 6 June. (ref. 26), letter no. 37.
    • Kramers, Ladenberg, and Reiche were between them responsible for the development of the Bohr dispersion theory prior to the introduction to the new technique, while Born and Heisenberg were able to incorporate this technique into their existing research programme, with considerable effect. Pauli had concerned himself, privately, with the dispersion theory, but had already hinted at innovations more fundamental than those suggested by Bohr: Pauli to Sommerfeld, 6 June 1923, op. cit. (ref. 26), letter no. 37.
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    • Born was already trying to develop de Broglie's theory before the experimental results were known, while even Bohr had prepared himself for an unfavourable result: Bohr to Heisenberg, 18 April, and Born to Bohr, 24 April (ref. 45).
    • Bothe W. & Geiger H., “Experimentelles zur Theorie von Bohr, Kramers und Slater”, Die Naturwissenschaften, xiii (1925), 440–1. Born was already trying to develop de Broglie's theory before the experimental results were known, while even Bohr had prepared himself for an unfavourable result: Bohr to Heisenberg, 18 April 1925, and Born to Bohr, 24 April 1925, Sources for history of quantum physics (ref. 45).
    • (1925) Die Naturwissenschaften , vol.xiii , pp. 440-441
    • Bothe, W.1    Geiger, H.2
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    • Zur Quantenmechanik der Stossvorgänge
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    • Born, M.1
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    • (my translation).
    • ibid., 865 (my translation).
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    • (ref. 18), of translation.
    • Spengler, op. cit. (ref. 18), 419 of translation.
    • op. cit , pp. 419
    • Spengler1
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    • Das Adiabatenprinzip in der Quantenmechanik
    • Born M., “Das Adiabatenprinzip in der Quantenmechanik”, Zeitschrift für Physik, xl (1927), 167–192, p. 192.
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    • Born, M.1
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    • Weyl's assistance was acknowledged by Schrödinger in his first paper on wave mechanics; for his involvement in the development of matrix mechanics see Weyl to Jordan, 13 November, 23 November, and 25 November (ref. 45), 18, 10 and Born to Weyl, 3 October, archive of the Eigener Technische Hochschule, Zürich. Despite their intellectual differences, Weyl was at this time virtually an honorary member of the mathematics department at Göttingen, and he may have seen Born there when the latter returned from America in the spring of : See Courant to Weyl, 19 February and 14 June, ETH Zürich.
    • Weyl's assistance was acknowledged by Schrödinger in his first paper on wave mechanics; for his involvement in the development of matrix mechanics see Weyl to Jordan, 13 November 1925, 23 November 1925, and 25 November 1925, Sources for history of quantum physics (ref. 45), 18, 10 and Born to Weyl, 3 October 1925, archive of the Eigener Technische Hochschule, Zürich. Despite their intellectual differences, Weyl was at this time virtually an honorary member of the mathematics department at Göttingen, and he may have seen Born there when the latter returned from America in the spring of 1926: See Courant to Weyl, 19 February 1926 and 14 June 1926, ETH Zürich.
    • (1925) Sources for history of quantum physics
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    • Quantenmechanik und Stossvorgänge
    • This attitude is clearest in his second paper on the subject
    • This attitude is clearest in his second paper on the subject, Born M., “Quantenmechanik und Stossvorgänge”, Zeitschrift für Physik, xxxviii (1926), 803–27.
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    • Born, M.1
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    • For a detailed discussion of Born's work and a discussion of this aspect of its background see. (ref. 94)
    • For a detailed discussion of Born's work and a discussion of this aspect of its background see Hendry J., op. cit. (ref. 94), 125–31.
    • op. cit , pp. 125-131
    • Hendry, J.1
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    • For an idea as to the complexity of the causality issue see Cambridge, Mass.
    • For an idea as to the complexity of the causality issue see Bunge M., Causality (Cambridge, Mass., 1959).
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    • Ueber den anschaulichen Inhalt der quantentheoretisch Kinematik und Mechanik
    • Bologna, cxxi (. The same position was also taken early on by it was also soon accepted by Born
    • Heisenberg W., “Ueber den anschaulichen Inhalt der quantentheoretisch Kinematik und Mechanik”, Zeitschrift für Physik, xliii (1927), 172–198; Bohr N., “The quantum postulate and the recent development of atomic theory”, Atti del Congresso Internazionale dei Fisica (Bologna, 1928), ii, 565–88, and Nature, cxxi (1928), 580–90. The same position was also taken early on by Jordan P., “Kausalität und Statistisch in der modernen Physik”, Die Naturwissenschaften, xv (1927), 105–7, and “Philosophical foundation of quantum theory”, Nature, cxix (1927), 566; it was also soon accepted by Born: Born M. “Ueber den Sinn der physikalischen Theorien”, Die Naturwissenschaften, xvii (1928), 109.
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    • Yet another problem omitted by Forman concerns the isolation of intellectuals in general—even those adopting the views of the milieu—from the milieu. This is mentioned by Ringer and emphasized by. (ref. 10).
    • Yet another problem omitted by Forman concerns the isolation of intellectuals in general—even those adopting the views of the milieu—from the milieu. This is mentioned by Ringer and emphasized by Laqueur, op. cit. (ref. 10).
    • op. cit
    • Laqueur1
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    • There does appear, on the other hand, to be a degree of social determination on the explicit level in respect of the (as opposed to the ) of science theories. Forman's second paper on the causality issue (ref. 3), is concerned with the more promising area of reception, and though it again runs into problems by leaving out of consideration differing degrees of familiarity with the internal background, it does suggest a strong social element to the short-term reception of the new quantum mechanics.
    • There does appear, on the other hand, to be a degree of social determination on the explicit level in respect of the reception (as opposed to the creation) of science theories. Forman's second paper on the causality issue (ref. 3), is concerned with the more promising area of reception, and though it again runs into problems by leaving out of consideration differing degrees of familiarity with the internal background, it does suggest a strong social element to the short-term reception of the new quantum mechanics.
    • reception


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