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1

Simoné, Guy. L'affaire De Broglie: Un crime d'Etat. Neuilly-sur-Seine: Lafon, 1999.

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2

Synge, J. L. Geometrical mechanics and de Broglie waves. Cambridge: Cambridge University Press, 2010.

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3

Lochak, Georges. Louis de Broglie: Un prince de la science. [Paris]: Flammarion, 1992.

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4

Broglie, Gabriel de, and Jean d' Anthonay. Pour l'épée du prince Gabriel de Broglie. Paris: Nouveau Cercle de l'union, 1998.

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5

Imbroglio comme de Broglie: Un septennat meurtrier. Coulommiers: Dualpha, 2006.

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6

Broglie, Gabriel de. Discours de réception de Gabriel de Broglie à l'Académie française: Et réponse de Maurice Druon. Paris: Perrin, 2002.

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7

Voyage au centre de la science au XXe siècle: Sur les traces de Louis de Broglie. Paris: Hermann, 2008.

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8

Victor de Broglie (1785-1870), ou, La liberté sans turbulence, l'ordre sans despotisme. Paris: Honoré Champion éditeur, 2012.

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9

The politics of pessimism: Albert de Broglie and conservative politics in the early Third Republic. Newark: University of Delaware Press, 1996.

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10

Robine, Florence. Histoire du principe de moindre action de Pierre de Fermat à Louis de Broglie et Richard Feunman: La nature agit toujours par les voies les plus simples. Paris: Vuibert, 2006.

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11

Stokley, Martin. An investigation into particle and field ontologies for relativistic scalar fields in de Broglie-Bohm type theories. Portsmouth: University of Portsmouth, 2001.

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12

The quantum theory of motion: An account of the de Broglie-Bohm causal interpretation of quantum mechanics. Cambridge [England]: Cambridge University Press, 1993.

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13

-A, Souentie Stamatios N., and SpringerLink (Online service), eds. Gravity, Special Relativity, and the Strong Force: A Bohr-Einstein-de Broglie Model for the Formation of Hadrons. Boston, MA: Springer US, 2012.

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14

Daba, Dumitru. La vérité Brancusi: Idées convergentes : Hegel, Aristote, Platon, Socrate, Einstein, de Broglie, Bohr, Planck, Eliade, Ionesco, Coanda, Titulescu, Noica, Enesco, Blaga, Eminescu. Timișoara: Editura Orizonturi Universitare, 2002.

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15

Le secret du roi. Paris: Librairie Arthème Fayard, 1993.

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16

Le secret du roi. [Paris]: Fayard, 1992.

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17

Perrault, Gilles. Le secret du roi. Paris: Librairie Arthème Fayard, 1996.

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18

Perrault, Gilles. Le secret du roi. Paris: Librairie Arthème Fayard, 1992.

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19

Lochak, Georges. Louis de Broglie. Flammarion, 1997.

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20

Broglie, Fondation Louis de, ed. Louis de Broglie que nous avons connu. Paris: Fondation Louis de Broglie, Conservatoire national des arts et métiers, 1988.

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21

Druon, Maurice. Discours de réception de M. Gabriel de Broglie à l'Académie française et Réponse de M. Maurice Druon. Perrin, 2002.

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22

Broglie, Achille Charles V. Personal Recollections Of The Late Duc De Broglie 1785-1820 V1. Kessinger Publishing, LLC, 2007.

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23

Broglie, Achille Charles V. Personal Recollections Of The Late Duc De Broglie 1785-1820 V1. Kessinger Publishing, LLC, 2007.

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24

Louis XV roi de France. Correspondance secrète inédite de Louis XV sur la politique étrangère avec le comte de Broglie, Tercier etc: Tome 2. Adamant Media Corporation, 2001.

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25

Holland, Peter R. The Quantum Theory of Motion: An Account of the de Broglie-Bohm Causal Interpretation of Quantum Mechanics. Cambridge University Press, 1995.

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26

Vayenas, Constantinos G. G., and Stamatios N. A. Souentie. Gravity, Special Relativity, and the Strong Force: A Bohr-Einstein-de Broglie Model for the Formation of Hadrons. Springer, 2016.

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27

Chambre Des Pairs. Séance Du 24 Janvier 1827. Opinion De M. Le Duc De Broglie,: Sur L'art. 1er Du Projet De Loi Relatif À La Répression De La Traite Des Noirs (French Edition). Nabu Press, 2011.

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28

de, Broglie Gabriel, ed. Remise à Gabriel de Broglie de son épée d'académicien: En l'honneur de son élection a l'Académie des sciences morales et politiques : au Conseil d'État, Palais-Royal, le 28 janvier 1998. [Paris?: s.n., 1998.

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29

de, Broglie Gabriel, ed. Remise à Gabriel de Broglie de son épée d'académicien: En l'honneur de son élection a l'Académie des sciences morales et politiques : au Conseil d'État, Palais-Royal, le 28 janvier 1998. [Paris?: s.n., 1998.

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30

Selleri, Franco. Fundamental Questions in Quantum Physics and Relativity: Collected Papers in Honor of Louis De Broglie (Hadronic Press Collection of Original Articles). Hadronic Press, 1993.

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31

Levin, Frank S. Creating Quantum Mechanics. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198808275.003.0007.

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In addition to recounting some contemporary scientific history, Chapter 6 describes the hypothesis that matter, like light, can display wavelike properties, and the creation of the various formulations of quantum mechanics. That matter could have a wavelength was proposed in 1924 by Louis de Broglie, who presented a specific formula for calculating it, one that was verified experimentally in 1927. However, de Broglie’s hypothesis was overshadowed by the creation of three versions of quantum mechanics in 1925/26. The first, denoted matrix mechanics, was proposed by Werner Heisenberg. It was quickly and successfully applied by Wolfgang Pauli to the hydrogen atom. Paul Dirac introduced the next version, which was followed by that of Erwin Schrödinger via a wave equation whose solutions, denoted wave functions, were soon interpreted byMax Born to be related to the probability that certain outcomes or events will occur: classical-physics determinism was thereby removed from quantum mechanics.
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32

Mann, Peter. Canonical & Gauge Transformations. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198822370.003.0018.

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In this chapter, the Hamilton–Jacobi formulation is discussed in two parts: from a generating function perspective and as a variational principle. The Poincaré–Cartan 1-form is derived and solutions to the Hamilton–Jacobi equations are discussed. The canonical action is examined in a fashion similar to that used for analysis in previous chapters. The Hamilton–Jacobi equation is then shown to parallel the eikonal equation of wave mechanics. The chapter discusses Hamilton’s principal function, the time-independent Hamilton–Jacobi equation, Hamilton’s characteristic function, the rectification theorem, the Maupertius action principle and the Hamilton–Jacobi variational problem. The chapter also discusses integral surfaces, complete integral hypersurfaces, completely separable solutions, the Arnold–Liouville integrability theorem, general integrals, the Cauchy problem and de Broglie–Bohm mechanics. In addition, an interdisciplinary example of medical imaging is detailed.
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33

Levin, Frank S. Interference Phenomena: Exploring the Essential Mystery. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198808275.003.0012.

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Chapter 11 introduces the essential mystery of quantum mechanics, shows how it is resolved, and then goes on to examine related phenomena. The mystery is how individual photons, not electromagnetic waves, can give rise to the interference pattern seen in the two-slit experiment. They are shown to do so because the relevant quantum amplitude is a linear combination of two terms, leading to the pattern when neither slit is identified as the one the photon went through, but collapsing to one term and no pattern if the slit is identified. Similar results are shown to occur when individual electrons are incident on the two slits, and when large molecules, which have de Broglie wavelengths, are scattered by diffraction gratings. Many other interference experiments are described, including those where a photon was shown to be in two places simultaneously and one where a photon displayed both wave and particle features.
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34

Levin, Frank S. Quantum Boxes, Stringed Instruments. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198808275.003.0008.

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Chapter 7 illustrates the results obtained by applying the Schrödinger equation to a simple pedagogical quantum system, the particle in a one-dimensional box. The wave functions are seen to be sine waves; their wavelengths are evaluated and used to calculate the quantized energies via the de Broglie relation. An energy-level diagram of some of the energies is constructed; on it are illustrations of the corresponding wave functions and probability distributions. The wave functions are seen to be either symmetric or antisymmetric about the midpoint of the line representing the box, thereby providing a lead-in to the later exploration of certain symmetry properties of multi-electron atoms. It is next pointed out that the Schrödinger equation for this system is identical to Newton’s equation describing the vibrations of a stretched musical string. The different meaning of the two solutions is discussed, as is the concept and structure of linear superpositions of them.
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35

Mann, Peter. Hamilton-Jacobi Theory. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198822370.003.0019.

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This chapter focuses on Liouville’s theorem and classical statistical mechanics, deriving the classical propagator. The terms ‘phase space volume element’ and ‘Liouville operator’ are defined and an n-particle phase space probability density function is constructed to derive the Liouville equation. This is deconstructed into the BBGKY hierarchy, and radial distribution functions are used to develop n-body correlation functions. Koopman–von Neumann theory is investigated as a classical wavefunction approach. The chapter develops an operatorial mechanics based on classical Hilbert space, and discusses the de Broglie–Bohm formulation of quantum mechanics. Partition functions, ensemble averages and the virial theorem of Clausius are defined and Poincaré’s recurrence theorem, the Gibbs H-theorem and the Gibbs paradox are discussed. The chapter also discusses commuting observables, phase–amplitude decoupling, microcanonical ensembles, canonical ensembles, grand canonical ensembles, the Boltzmann factor, Mayer–Montroll cluster expansion and the equipartition theorem and investigates symplectic integrators, focusing on molecular dynamics.
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36

Wallace, Marilyn. The right of religious liberty and its basis in the theological literature of the French language (1940-1980): An analysis and critique of the contributions of Guy de Broglie, René Coste, Philippe Delhaye and Louis Janssens. 1988.

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37

Perrault, Gilles. Le secret du roi. Fayard, 1993.

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