Abstract
In this paper my intention is to present de Broglie’s personal view on “matter waves”, with some consequences on the theory of measurement. This conception of “matter waves” was at the very origin of wave Mechanics and was, later on, developed by de Broglie and his collaborators during the last 25 years. There are two papers on this subject in this book. The present one combines my own two lectures given during the Perugia Symposium and the second paper (by Daniel Fargue) is especially devoted to the double solution theory and the fundamental idea of using non-linear equations. In connection with this last problem, let me note that I am very glad to see how the approach of physicists has changed during the last few years : 20 or 25 years ago, when we were the only ones to speak about non linear equations and the possibility of generalizing Quantum Mechanics on the basis of this idea, all the official scientific commissions considered that it was an utterly foolish idea devoid of any interest, which only demonstrated that de Broglie had definitely became an old man. Today the possibility of non linear effects in the diffraction or interferences of matter-waves is largely recognized and this is certainly a very important evolution, which may help to find an intelligible feature of the dualistic properties of matter.
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L. de Broglie: a) Some important papers: C.R.A.S., 177, p. 517, p. 548, p. 630, 1923; Philosophical Mag., XLVII, p. 446, 1924; J. Phys., série VI, t. VII, n° 11, p. 321, 1926; J. Phys., série VI, t. VIII, n° 5, p. 225, 1927; J. Phys., 20, p. 963, 1959; C.R.A.S., 277, série B, p. 71, 1973; Found. of Phys. (with G. Lochak, J.A. Beswick and J. Vassalo Pereira), 6, p. 3, 1976. b) Books (among 44 titles): — Recherches sur la théorie des quanta (Thesis, 1924): first published in: Annales de Physique, 10e série, t. III, p. 22–128, 1925; german translation: Akademische Verlaggesellschaft, Leipzig, 1927; reprinted by Masson, Paris, 1963. — Selected papers on wave mechanics (with Léon Brillouin), Blackie & Son, Glasgow, 1928. — Une tentative d’interpretation causale et non linéaire de la mécanique ondulatoire: la théorie de la double solution, Gauthier-Villars, Paris, 1956; english translation: Elsevier, Amsterdam, 1960. — La théorie de la mésure en mécanique ondulatoire (interprétation usuelle et interprétation causale), Gauthier-Villars, Paris, 1960. — Etude critique des bases de l—interprétation actuelle de la mécanique ondulatoire, Gauthier-Villars, Paris, 1963; english translation, Elsevier, Amsterdam, 1965. — La réinterprétation de la mécanique ondulatoire, Gauthier-Villars, Paris, 1971. — Contribution to: Foundations of quantum mechanics, Proc. Int. Schools Enrico Fermi, Varenna, 1971. — Les incertitudes d’Heisenberg et l’interprétation probabiliste de la mécanique ondulatoire, Gauthier-Villars, Paris, 1982 (with a long preface of G. Lochak on The evolution of the ideas of Louis de Broglie on the interpretation of wave-mechanics: translated in English in the Special issue of Found, of Physics devoted to Louis de Broglie, 1982.
J. Andrade e Silva: Found, of Phys., 2, 245, 1972; contribution to Foundations of quantum mechanics, Proc. Int. Schools Enrico Fermi, Varenna, 1971.
G. Lochak, Found, of Phys., 6, p. 3, 1976 (with de Broglie et al.: see above); 6, p. 173, 1976; several contributions to the Written Symposium on Hidden Variables and Quantum Uncertainty, since 1975 (Association Ferdinand Gonseth, Case postale 1081, CH-2501 BIENNE); Revue de Métaphysique et de Morale, 88ème année, n° 1, p. 85, 1983.
J. Bell, Rev. Mod. Phys. 38, p. 447, 1966; contributions to the School of Physics, Varenna, 1971 (see above) and to the Written Symposium (cited above).
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B. d’Espagnat, A la recherche du réel, Gauthier-Villars, Paris, 1979.
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Lochak, G. (1984). De Broglie’s Initial Conception of De Broglie Waves. In: Diner, S., Fargue, D., Lochak, G., Selleri, F. (eds) The Wave-Particle Dualism. Fundamental Theories of Physics, vol 3. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-6286-6_1
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