ELECTROMAGNETISM

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                                                                                          Free E-book on pre-metric electromagnetism

D. H. Delphenich, Pre-metric electromagnetism, (File is in two parts: I and II).
 
                                                                                                               Published articles

D. H. Delphenich, "Pre-metric electromagnetism as a path to unification," in Unified Field Mechanics, eds. Amoroso, Kaufmann, Rowlands, World Scientific, New Jersey, 2016,  arXiv:1512.05183.

D. H. Delphenich, “On linear electromagnetic constitutive laws that define almost-complex structures,” Ann. Phys. (Leipzig 16 (2007), 207-217.

D. H. Delphenich, “Nonlinear electrostatics: steps towards a neo-classical electron model,” Ann. Phys. (Leipzig) (2007), 1-13.

D. H. Delphenich, “On the axioms of topological electromagnetism,” Ann. Phys. 14 (2005), 347-377.

D. H. Delphenich, “Symmetries and pre-metric electromagnetism,” Ann. Phys. (Leipzig) (2005), 1-42.

                                                                                            Conference presentations

D. H. Delphenich, “Pre-metric electromagnetism and emergent gravity,” presentation given at SIAM mini-symposium in Denver on the foundations of electromagnetism (2009).

D. H. Delphenich, “Pre-metric electromagnetism and complex relativity,” presentation given at 16th Midwest Relativity Meeting at Washington University (2006).

D. H. Delphenich, “Spinors and pre-metric electromagnetism,” presentation given at the Seventh International Conference on Clifford Algebras held in Toulouse, May, 2005, arXiv:gr-qc/0512128

D. H. Delphenich, “Symmetries of the equations of pre-metric electromagnetism,” presented at the Symmetry in Nonlinear Mathematical Physics conference held in Kiev, June, 2005, arXiv:gr-qc/0512126

                                                                         Invited talk at University of Missouri – Columbia

D. H. Delphenich, “Projective geometry and spacetime structure”

                                                                                                               ArXiv.org uploads

D. H. Delphenich, "A pre-metric formulation of the Fresnel wave and ray surfaces," arXiv:2309.08575.

D. H. Delphenich, “Hermitian structures defined by linear electromagnetic constitutive laws,” arXiv:0710.5156

D. H. Delphenich, “Field/source duality in topological field theories,” arXiv:hep-th/0702105

D. H. Delphenich, “Nonlinear optical analogies in quantum mechanics,” contributed chapter to book on nonlinear electrodynamics edited by CBPF (Rio), arXiv:hep-th/0610088

D. H. Delphenich, “Complex geometry and pre-metric electromagnetism,” arXiv:gr-qc/0412048

D. H. Delphenich, “Nonlinear electromagnetism and QED,” arXiv:hep-th/0309108

D. H. Delphenich, “On the scale at which general relativity breaks down”

D. H. Delphenich, "The relativistic Pauli equation," http://arxiv.org/abs/1207.5752

D. H. Delphenich, "Line geometry and electromagnetism I: basic structures," http://arxiv.org/abs/1309.2933

D. H. Delphenich, "Line geometry and electromagnetism II: wave motion," arXiv:1311.6766

D. H. Delphenich, "Line geometry and electromagnetism III: groups of transformations," arXiv:1404.4330

D. H. Delphenich, "Line geometry and electromagnetism IV: electromagnetic fields as infinitesimal Lorentz transformations," arXiv:1610.06822.

D. H. Delphenich, "On the electromagnetic constitutive laws that are equivalent to spacetime metrics," arXiv:1409.5107

D. H. Delphenich, "Mechanics of Cosserat theory: II. relativistic theory, arXiv:1510.01243

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                                                                                                                TRANSLATIONS
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E. Lenz, "On the determination of the direction of galvanic currents that are produced by electrodynamical induction," Ann. Phys. (Leipzig) (2) 107 (1834), 483-494.

G. Kirchhoff, "On the solution of the equations to which one will be led in the study of linear distributions distributions of galvanic currents," Ann. Phys. Chem. 72 (1847), 497-508.

W. Weber, "Foreword to submission of the treatise 'Electrodynamic measurements, in particular attributing mechanical units to measures of current intensity'," Ber. Verh. der Konig. Sachs. Ges. Wiss. Leipzig 17 (1855), 55-61; Werke, v. 3, H. Weber (ed.), Springer, Berlin, 1893, pp. 591-596.

C. F. Gauss, "On electrodynamics," from Carl Friedrich Gauss Werke, vol. V, Kon. Ges. Wiss. Gottingen, 1867, pp. 605.

E. Schering, "Remarks on Gauss," from Carl Friedrich Gauss Werke, vol. V, Kon. Ges. Wiss. Gottingen, 1867, pp. 637-640.

H. Grassmann, "On electrodynamics," J. reine angew. Math. 83 (1877), 57-64.

G. Lippmann, "The principle of the conservation of electricity," Ann. de Chim. et phys. (5) 24 (1882), 145-178.

R. Kohlrausch and W. Weber, "Electrodynamic measurements, in particular attributing mechanical units to measures of current intensity," Abh. der Konig. Sachs. Ges. Wiss. 5 (1857), 221-290.; Werke, vol. 3, H. Weber (ed.), Springer, Berlin, 1893, pp. 609-676.

A. Wassmuth, "On the application of the principle of least constraint to electrodynamics," Sitz. Kon. Bayer. Akad. Wiss. 24 (1894), 219-230.

H. Ebert, "On the theory of magnetic and electric phenomena," Ann. Phys. Chim. (3) 51 (1894), 268-301.

H. Ebert, "On the forms of motion that can serve as the basis for electromagnetic phenomena," Ann. Phys. Chim. 52 (1894), 417-431.

T. Levi-Civita, "On the reducibility of Helmholtz’s equations of electrodynamics to the Hertzian form," Il Nuovo Cim. (4) 6 (1897), 93-108.

K. Schwarzschild, "On the hypotheses of quantum theory," Sitz. Kön. Preuss. Akad. Wiss. Berlin 1 (1916), 548-568.

A.-M. Lienard, "Electric and magnetic field produced by an electric charge that is concentrated at a point and animated with an arbitrary motion," L’Éclairage Électrique, Revue Hebdomadaire d’Électricité 16 (1898), 5-14, 53-59, 106-112.

W. Wien, "On the possibility of an electromagnetic basis for mechanics," Ann. Phys. (Leipzig) (5) 4 (1901), 501-513.

E. Wiechert, "Elementary electrodynamical laws," Ann. Phys. (Leipzig) 309 (1901), 667-689.

W. Voigt, " The electron hypothesis and the theory of magnetism," Ann. Phys. (Leipzig) (4) 9 (1902), 115-146.

M. Abraham, "Principles of the dynamics of electrons," Ann. Phys. (Leipzig) 315 (1903), 105-179.

K. Schwarzschild, "On electrodynamics. I: Two forms of the principle of least action in the theory of the electron," Nachr. Ges. Wiss. Goettingen, Math.-Phys. Klasse (1903), 126-131; "On electrodynamics. II: The elementary electrodynamical force," ibid., 132-141.

P. Langevin, "On the origin of radiation and electromagnetic inertia," J. de Phys. Theor. appl. (4) 4 (1905), 165-183.

E. Carvallo, Electricity, deduced from experiment and reduced to the principle of virtual work, 2nd ed., Scientia, no. 19, 1907.

L. Silberstein, “Basic electromagnetic equations in bivectorial form,” Ann. Phys. (Leipzig) 327 (1907), 579-586.

L. Silberstein, “Addendum to the treatise ‘Basic electromagnetic equations in bivectorial form’,” Ann. Phys. (Leipzig) 329 (1907), 783-784.

P. Frank, "The place of the relativity principle in the systems of mechanics and and electrodynamics," Sitz. Kais. Akad. Wiss. II.a 118 (1909), 373-446.

M. Born, "The theory of the rigid electron in the kinematics of the principle of relativity," Ann. Phys. (Leipzig) 30 (1909), 1-56.

M. Abraham, "On the electrodynamics of moving bodies," Rend. Circ. mat. Palermo (1) 28 (1909), 1-28.

M. Abraham, "On Minkowski's electrodynamics ," Rend. Circ. mat. Palermo (1) 30 (1910), 33-46.

P. Ehrenfest, "Does the angle of aberration measure the wave velocity in the case of a dispersive ether?" Ann. Phys. (Leipzig) 338 (1910), 1571-1576.

P. Ehrenfest, "Nonuniform motions of electricity without magnetic or radiation fields," Phys. Zeit. 11 (1910), 708-709.

A. Wassmuth, "The equations of motion of the electron and the principle of least action," Sitz. Kais. Akad. Wiss. in Wien, math.-naturw. Klasse, Abt. 2.a, 120 (1911), 161-164.

A. Leduc, "Application of Lenz's principle to the phenomena that accompany the charging of condensers," C. R. Acad. Sci. Paris 152 (1911), 313-315.

A. Schidlof, "A clarification of the universal electrodynamical meaning of Planck's radiation constant h," Ann. Phys. (Leipzig) (4) 35 (1911), 90-100.

P. Appell, "Outline of the possible use of the energy of acceleration in the equations of electrodynamics," C. R. Acad. Sci. Paris 154 (1912), 1017-1040.

G. Mie, “Foundations of a theory of matter, I” Ann. d. Phys. (Leipzig), 37 (1912), 511-534; II, 39 (1912), 1-40; III,  40 (1913), 1-66.

S. Procopiu, "Determination of the molecular magnetic moment by Planck's theory of quanta," Bulletin de la Section Scientifique de l'Academie Roumanie 3 (1913), 131-157.

P. Langevin, "The inertia of energy and its consequences ," J. Phys. Theor. Appl. (1) 3 (1913), 553-591.

K. Lanczos, The relationships between Maxwell's ehter equations and the theory of functions, Thesis, Verlagsbuchshandlung Josef Nemeth, Budapest, 1919.

E. Bessel-Hagen, "On the conservation laws of electrodynamics," Math. Ann. 84 (1921), 258-276.

E. Brody, "Integral invariants and quantum hypotheses," Zeit. Phys. 6 (1921), 224-228.

J. Frenkel, Electrodynamics, Springer, 1926.
    Part One: Basic equations, Part Two: Theory of the Electron, Part Three: Relativity

A. D. Fokker, "An invariant variational principle for the motion of several electric mass-points, " Zeit. Phys. 58 (1929), 386-393.

E. Fermi, "On the electrostatics of a uniform gravitational field and the weight of the electromagnetic mass," Nuov. Cim. 22 (1921), 176-188; Collected Papers (Nota e memorie), v. I, U. of Chicago Press, 1962, pp. 8-16.

E. Fermi, "On the dynamics of a rigid system of electric charges in translatory motion," Nuov. Cim. 22 (1921), 199-207; Collected Papers (Nota e memorie), v. I, U. of Chicago Press, 1962, pp. 1-7.

F. Kottler, “Maxwell’s equations and metrics,” Sitz. Akad. Wien IIa 131 (1922), 119-146.

A. Lande, "On the theory of the anomalous Zeeman and magneto-mechanical effects," Zeit. Phys. 11 (1922), 353-363.

E. Fermi,"On the phenomena that happen in the vicinity of a timeline," Rend. Accad. Lincei (1) 31 (1922), 21-23, 51-52, 101-103; Collected Papers (Nota e memorie), v. I, U. of Chicago Press, 1962, pp. 17-23.

E. Fermi, "Correction to a contradiction between the electrodynamical theory and the relativistic theory electromagnetic mass," Nuov. Cim. 25 (1923), 159-170; Collected Papers (Nota e memorie), v. I, U. of Chicago Press, 1962, pp. 26-32.

N. Bohr, H. A. Kramers, and J. C. Slater, "On the quantum theory of radiation," Zeit. Phys. 24 (1924), 69-87.


I. E. Tamm, "The electrodynamics of anisotropic media in the special theory of relativity," Zh. R. F. Kh. O. 2-3 (1924), 248.

I. E. Tamm, "The crystal-optical theory of relativity, as it relates to the geometry of bi-quadratic forms," Zh. R. F. Kh. O. 3-4 (1925), 1.

J. Frenkel, "On the electrodynamics of point-like electrons," Zeit. Phys. 32 (1925), 518-534.

W. Heisenberg, "On the quantum-theoretical reinterpretation of kinematical and mechanical relationships," Zeit. Phys. 33 (1925), 879-893.

M. Born and P. Jordan, "On quantum mechanics," Zeit. Phys. 34 (1925), 858-888.

L. de Broglie, Waves and Motions, Gauthier-Villars, Paris, 1926.

L. Mandelstam and I. Tamm, "The electrodynamics of anisotropic media in the special theory of relativity," Math. Ann. 95 (1926), 154-160.

J. Frenkel, “The electrodynamics of rotating electrons,” Zeit. f. Phys. 37 (1926), 243-262.

F. Raseti and E. Fermi, "On the rotating electron," Nuov. Cim. (8) 3 (1926), 226-235.

W. Heisenberg and P. Jordan, "Application of quantum mechanics to the problem of the anomalous Zeeman effect," Zeit. Phys. 37 (1926), 263-277.

W. Gordon, "The Compton effect according to Schrodinger's theory," Zeit. Phys. 40 (1926), 117-133.

J. Kudar, "On the four-dimensional formulation of wave mechanics," Ann. Phys. (Leipzig) (4) 81 (1926), 632-636.

G. Gamov and D. Ivanenko, "On the wave theory of matter," Zeit. Phys. 39 (1926), 865-868.

M. Born, "On the quantum mechanics of collision processes," Zeit. Phys. 37 (1926), 863-867.

M. Born, "Quantum mechanics of collision processes," Zeit. Phys. 38 (1927), 803-827.

A. Schidlof, "On the interpretation of the masses of the electron and proton in a five-dimensional," C. R. Acad. Sci. Paris 185 (1927), 889-891.

P. Ehrenfest, " Remark on the approximate validity of classical mechanics within quantum mechanics,"  Zeit. Phys. 45 (1927), 455-457.

W. Pauli, “On the quantum mechanics of magnetic electrons,” Zeit. f. Phys. 43 (1927), 601-623.

P. Jordan, “On the polarization of light quanta,” Zeit. f. Phys. 44 (1927), 292-300.

P. Jordan and W. Pauli, "On the quantum electrodynamics of charge-free fields," Zeit. Phys. 47 (1927), 151-173.

F. Gonseth and G. Juvet, (a series of papers on 5D space-time, with errata incoprorated) C. R. Acad. Sci. Paris 185 (1927)
      "On the equations of electromagnetism," pp. 341-343
      "On the metric of the five-dimensional space of electromagnetism and gravitation," pp.
       412-413.
      "On the Schrodinger equation," pp. 448-450.
      "The equations of electromagnetism and the Schrodinger equation in a five-dimensional
       universe," pp. 535-538.

F. Gonseth and G. Juvet, "On the relativity of five dimensions and an interpretation of the Schrödinger equation," Helv. Phys. Acta 1 (1928), 421-436.

L. Rosenfeld, "Five-dimensional wave mechanics," Bull. Acad. roy. de Belg. 13 (1927), 304-325, 447-458, 573-579, 661-682.

O. Klein, "Electrodynamics and wave mechanics from the standpoint of the correspondence principle," Zeit. Phys. 41 (1927), 407-442.

W. Heisenberg, "On the theory of ferromagnetism," Zeit. Phys. 49 (1928), 619-636.

G. Mie, "Investigations into the problem of quantum electricity," Ann. Phys. (Leipzig) (4) 85 (1928), 711-729.

F. Moglich, "On the quantum theory of rotating electrons," Zeit. f. Phys. 48 (1928), 852-867.

H. Tetrode, “The impulse-energy theorem in Dirac’s quantum theory of the electron,” Zeit. f. Phys. 49 (1928), 858-864.

H. Tetrode, "General-relativistic quantum theory of the electron, " Zeit. f. Phys. 50 (1928), 336-346.

O. Klein, "The reflection of electrons by a potential jump according to Dirac's relativistic dynamics," Zeit. Phys. 53 (1929), 157-165.

D. Ivanenko, "On a generalization of geometry that can be useful in quantum mechanics," Dokl. Akad. Nauk 4 (1929), 73-38.

V. Fock and D. Ivanenko, "Linear quantum geometry and parallel displacement," C. R. Acad. Sci. Paris 188 (1929), 1470-1472.

V. Fock and D. Ivanenko, "On a possible geometric interpretation of relativistic quantum theory," Zeit. f. Phys. 54 (1929), 798-802.

V. Fock, "Geometrization of the Dirac theory of electrons," Zeit. f. Phys. 57 (1929), 261-277.

E. Wigner, "A remark about Einstein's new formulation of the principal of relativity," Zeit. Phys. 53 (1929), 592-596.

W. Heisenberg and W. Pauli, "On the quantum dynamics of wave fields," Zeit. Phys. 56 (1929), 1-61.

W. Heisenberg and W. Pauli, "On the quantum theory of wave fields, II" Zeit. Phys. 59 (1929), 168-190.

C. Lanczos, “The tensor-analytic aspects of the Dirac equation,” Zeit. f. Phys. 57 (1929), 447-473.

C. Lanczos, “On the covariant formulation of the Dirac equation,” Zeit. f. Phys. 57 (1929), 474-483.

C. Lanczos, “Conservation laws in the field-theoretic representation of the Dirac theory,” Zeit. f. Phys. 57 (1929), 484-493.

E. Madelung, “A transcription of Dirac’s theory of the electron into a customary form,” Zeit. f. Phys. 54 (1929), 303-306.

R. Zaycoff, "On a general form of the Dirac equation," Ann. Phys. (Leipzig) 7 (1930), 650-660.

Th. de Donder, "Einsteinian gravity," Ann. de l'Inst. H. Poincare 1 (1930), 77-116.

A. Proca, "On the Dirac equation," J. Phys. Rad. 1 (1930), 235-248.

L. Landau and R. Peierls, “Quantum electrodynamics in configuration space,” Zeit. f. Phys. 62 (1930), 188-200.

G. Juvet, “Dirac operators and Maxwell equations,” Comm. Math. Helv. 2 (1930), 225-235.

E. Schrodinger, "On  force-free motion in relativistic quantum mechanics," Sitzber. preuss. Akad. Wiss, Phys.-Math. Klasse 24 (1930), 418-428; Ges. Abh., v. III, pp. 357-368.

F. Sauter, "Solving the Dirac equation with no specialization of the Dirac operators," Zeit. Phys. 63 (1930), 803-814.

F. Sauter, "Solving the Dirac equation with no specialization of the Dirac operators II," Zeit. Phys. 64 (1930), 295-303.

E. Fues and H. Hellmann, "On polarized electron waves," Phys. 31 (1931), 465-478.

E. Schrodinger, "On the quantum dynamics of the electron," Sitzber. preuss. Akad. Wiss, Phys.-Math. Klasse 3 (1931), 63-72; Ges. Abh., v. III, pp. 369-379.

F. Sauter, “On the behavior of electrons in a homogeneous electric field in Dirac’s relativistic theory,” Zeit. f. Phys. 69 (1931), 742-764.

H. Bethe and E. Fermi, "On the interaction of two electrons," Zeit. Phys. 77 (1932), 296-306.

W. Pauli, "Dirac's wave equation for the electron and geometrical optics," Helv. Phys. Acta 5 (1932), 179-199.

E. Schroedinger, "On the relativistic theory of the electron and the interpretation of quantum mechanics," Ann. Inst. Henri Poincaré 2 (1932), 269-310.

E. Schroedinger, "The Dirac electron in a gravitational field I," Sitzber. Preuss. Akad. Wiss., Phys-Math. Kl. (1932), 105-128.

L. Infeld and B. L. van der Waerden, "The wave equation of the electron in the general theory of relativity," Sitz. preuss. Akad. Wiss., phys.-math. Klasse (1933), 380-401; errata on pp. 474.

R. Zaycoff, "On the extension of wave mechanics," Zeit. Phys. 83 (1933), 338-440; ibid. "...(Second communication)," 84 (1933), 264-267.

F. Perrin, "Possibility of the emission of neutral particles of zero intrinsic mass during b-radioactivity," C. R. Acad. Sci. (Paris) 197 (1933), 1625-1627.

A. Einstein and W. Mayer, "The Dirac equations for semi-vectors," Proc. Roy. Acad. Amst. 32 (1933), 497-516.

A. Einstein and W. Mayer, "Semi-vectors and spinors," Proc. Roy. Acad. Amst. 36 (1933), 522-550.

J. A. Schouten and J. Haantjes, "On the conformally-invariant for of Maxwell's equations and the electromagnetic impulse-energy equations," Physica 1 (1934), 869-872.

L. de Broglie, A new conception of light, Actualities scientifique et industrielles, v. 181, Hermann and Co., Paris, 1934.

L. de Broglie, The Magnetic Electron, Hermann and Co., Paris, 1934.

W. Heisenberg, “Remarks on the Dirac theory of the positron,” Zeit. f. Phys. 90 (1934), 209-231.

W. Pauli, " Contributions to the mathematical theory of the Dirac matrices," in Pieter Zeeman Verhandelingen, Martinus Nijhoff,  ‘s-Gravenhage, 1935, pp. 31-43.

W. Franz, "On the methodology of the Dirac equation," Sitz. Bayer. Akad. Wiss. Math-Phys. Klasse 65 (1935), 379-435.

H. Euler and B. Köckel, “The scattering of light by light in Dirac’s theory,” Naturwiss. 23 (1935), 246-247.

H. Euler, “On the scattering of light by light in Dirac’s theory” Ann. Phys. (Leipzig) 26 (1936), 398-448.

D. Ivanenko and A. Sokolov, "On the neutrino theory of light," Phys. Zeit. d. Sowjetunion 9 (1936), 692-695.

W. Heisenberg and H. Euler, “Consequences of the Dirac theory of positrons,” Zeit. f. Phys. 98 (1936), 714-732.

A. Proca, “On the undulatory theory of positive and negative electrons,” J. Phys. et le Radium 7 (1936), 347-353.

V. Weisskopf, “On the electrodynamics of the vacuum on the basis of the quantum theory of the electron,” Kongelige Danske Videnskaberne Selskab, Mathematisk-fysiske Meddelelser 24, no. 6 (1936), 3-39.

W. Pauli, "Mathematical contributions to the theory of Dirac matrices," Ann. de l’Inst. Henri Poincaré 6 (1936), 109-136.

E. Henriot, "Radiation couples and electromagnetic moments," Gauthier-Villars, Paris, 1936.

J. van Mieghem, Contribution to the theory of Huygens's enveloping-wave principle, Palais des Academies, Brussels, 1936.

V. Fock, "Proper time in classical and quantum mechanics," Phys. Zeit. d. Sowjetunion 12 (1937), 404-425.

M. Mathisson, "The jittering electron and its dynamics," Acta Physica Polonica 6 (1937), 218

M. Born, “Nonlinear theory of the electromagnetic field,” Ann. Inst. Henri Poincaré (1937), 155-265.

J. Geheniau, Wave mechanics of the electron and photon, Memoires, Acad. Roy. Belg., Cl. de Sc., (2) 18, Brussels, 1938.

A. Proca, "Non-relativistic theory of particles with integer spin," J. Phys. Rad. 9 (1938), 61-66.

D. Ivanenko, "Remarks on the theory of interaction,"Phys. Zeit. d. Sowjetunion 13 (1938), 141-150.

E. C. G. Stueckelberg, "Forces of interaction in electrodynamics and in the field theory of nuclear forces. (Part I)," Helv. Phys. Acta 11 (1938), 225-244.

E. C. G. Stueckelberg, "Forces of interaction in electrodynamics and in the field theory of nuclear forces. (Part I) and III)," Helv. Phys. Acta 11 (1938), 299-328.

E. Schrodinger, "The multi-valuedness of the wave function," Ann. Phys. (Leipzig) (5) 32 (1938), 49-55.

W. Pauli, "On a criterion for one- or two-valuedness of eigenfunctions in wave mechanics," Helv. Phys. Acta 12 (1939), 147-167.

J. Geheniau, "Contribution to L. de Broglie's theory of light," Actualities scientifiques et industrielles, v. 27, Hermann, Paris, 1939.

H. Hönl and A. Papapetrou, "On the internal motion of electrons. I,"   Zeit. Phys. 112 (1939), 512.
H. Hönl and A. Papapetrou, "On the internal motion of electrons. II,"  Zeit. Phys. 114 (1939), 478-494.
H. Hönl and A. Papapetrou, "On the internal motion of electrons. III,"  Zeit. Phys. 116 (1940), 153-183.

J. Haantjes, "The equivalence of uniformly-accelerated observers for electromagnetic phenomena," Proc. Nat. Akad. Sci. 43 (1940), 1288-1299.

W. Kofink, "On Dirac’s theory of the electron, I: Algebraic identities between the probability densities," Ann. Phys. (Leipzig) (5) 38 (1940), 421-435.

W. Kofink, "On Dirac’s theory of the electron, II : Algebraic identities that contain differential quotients in Dirac’s theory of the electron." Ann. Phys. (Leipzig) (5) 38 (1940), 436-455.

W. Kofink, "On Dirac's theory of the electron. III: Consequences of the reality of the electromagnetic potentials," Ann. Phys. (Leipzig) (5) 38 (1940), 565-582.

W. Kofink, "On Dirac's theory of the electron. IV: Relations between the reality relations," Ann. Phys. (Leipzig) (5) 38 (1940), 565-582.

L. Rosenfeld, "On the energy-momentum tensor," Mémoires Acad. Roy. de Belgique 18 (1940), 1-30.

J. Yvon, “The Dirac-Madelung equations,” J. Phys. Rad. (8) 1 (1940), 18-24.

J. Yvon, “Madelung equations of the non-relativistic magnetic electron,” Revue Scientifique 79 (1940), 209-215.

A. D. Galanin, "Investigating the properties of electron and meson spin in the classical approximation," Journal of Physics (USSR) 6 (1942), 25-47.

O. Costa de Beauregard, Contribution to the study of Dirac's theory of the electron, Gauthier-VIllars, Paris, 1943.

J. Humblet, "On the moment of impulse of an electromagnetic wave," Physica 10 (1943), 586-603.

E. Durand, "On ten relations that are consequences of the second-order Dirac equations," C. R. Acad. Sci. 218 (1944), 36-38.

W. Wessel, "On the theory of electron," Z. Naturforschorg. 1 (1946), 622-636.

G. Petiau, "On the tensorial relations between the mean-value densities in Dirac’s theory of the electron (I)," J. de Math. 25 (1946), 335-346.

G. Petiau, "On the tensorial relations between the mean-value densities in Dirac’s theory of the electron (II)," J. de Math. 26 (1947), 1-14..

F. Bopp, "Field-mechanical foundations of the Dirac wave equation," Z. Naturforschorg. 3a (1948), 564-573.

O. Costa de Beauregard, The Special Theory of Relativity, Masson and Co., Paris, 1949.

L. de Broglie, The Theory of Particles of Spin 1/2 (Dirac Electrons), Gauthier-Villars, Paris, 1952,

A. Proca, "Point Mechanics," J. Phys. Rad. 15 (1954), 65-72.

D. Bohm, G. Lochak, and J.-P. Vigier, "Interpretation of the Dirac equation as a linear approximation to the equation of a wave that propagates in a chaotically-agitated vorticial fluid of Dirac ether type," Sem. L. de Broglie, Theor. Phys. 25 (1955-56), rep. 8, 1-10 and Appendix to rep. 8, 12-18.

D. Bohm, F. Halbwachs, G. Lochak, J.-P. Vigier, "Interpretations of the Dirac equation...," ibid., rep. 15, 1-21.

F. Halbwachs, G. Lochak, and J.-P. Vigier, "Model for the causal theory of micro-objects of arbitrary spin by means of a relativistic fluid endowed with an internal kinetic moment," C. R. Acad. Sci. 241 (1955), 744-747.

G. Jakobi and G. Lochak, "Introduction of relativistic Cayley-Klein parameters into the hydrodynamical representation of the Dirac equation," C. R. Acad. Sci. 241 (1955), 234-237.

G. Jakobi and G. Lochak, "Decomposition of the Dirac impulse in Clebsch parameters and the physical interpretation of the gauge invariance of the equations of wave mechanics,"  C. R. Acad. Sci. 243 (1956), 357-360.

P. M. Quan, "Electromagnetic inductions in a relativistic anisotropic medium," C. R. Acad. Sci. Paris 245 (1958), 1782-1785.

P. M. Quan, "On the equations of electromagnetic induction," C. R. Acad. Sci. Paris 246 (1958), 707-710.

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