Field theory of the spinning electron: Internal motions

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Salesi, Giovanni; Recami, Erasmo;
(1996)

We present here a field theory of the spinning electron, by writing down a new equation for the 4-velocity field v^mu (different from that of Dirac theory), which allows a classically intelligible description of the electron. Moreover, we make explicit the noticeable ki... View more
  • References (9)

    [1] A.H. Compton: Phys. Rev. 14 (1919) 20, 247; E. Schr¨odinger: Sitzunger. Preuss. Akad. Wiss. Phys. Math. Kl. 24 (1930) 418. See also P.A.M. Dirac: The Principles of Quantum Mechanics, 4th edition (Claredon; Oxford, 1958), p.262; J. Frenkel: Z. Phys. 37 (1926) 243; M. Mathisson: Acta Phys. Pol. 6 (1937) 163; H. H¨onl and A. Papapetrou: Z. Phys. 112 (1939) 512; 116 (1940) 153; M.J. Bhabha and H.C. Corben: Proc. Roy. Soc. (London) A178 (1941) 273; K. Huang: Am. J. Phys. 20 (1952) 479; H. H¨onl: Ergeb. Exacten Naturwiss. 26 (1952) 29; A. Proca: J. Phys. Radium 15 (1954) 5; M. Bunge: Nuovo Cimento 1 (1955) 977; F. Gursey: Nuovo Cimento 5 (1957) 784; W.H. Bostick: “Hydromagnetic model of an elementary particle”, in Gravity Res. Found. Essay Contest (1958 and 1961), and refs. therein; H.C. Corben: Phys. Rev. 121 (1961) 1833; T.F. Jordan and M. Mukunda: Phys. Rev. 132 (1963) 1842; B. Liebowitz: Nuovo Cimento A63 (1969) 1235; H. Jehle: Phys. Rev. D3 (1971) 306; F. Riewe: Lett. Nuovo Cim. 1 (1971) 807; G.A. Perkins: Found. Phys. 6 (1976) 237; D. Gutkowski, M. Moles and J.P. Vigier: Nuovo Cim. B39 (1977) 193; A.O. Barut: Z. Naturforsch. A33 (1978) 993; J.A. Lock: Am. Lecture Notes in Physics, vol.135 (1987) 306; M. H. McGregor: The enigmatic electron (Kluwer; Dordrecht, 1992); W.A. Rodrigues, J. Vaz and E. Recami: Found. Phys. 23 (1993) 459.

    [2] A.O. Barut and N. Zanghi: Phys. Rev. Lett. 52 (1984) 2009. See also A.O. Barut and A.J. Bracken: Phys. Rev. D23 (1981) 2454; D24 (1981) 3333; A.O. Barut and M. Pavsic: Class. Quantum Grav. 4 (1987) L131; A.O. Barut: Phys. Lett. B237 (1990) 436.

    [3] E. Recami and G. Salesi: “Field theory of the electron: Spin and zitterbewegung”, in Particles, Gravity and Space-Time, ed. by P.I. Pronin and G.A. Sardanashvily (World Scient.; Singapore, 1996), pp.345-368.

    [4] M. Pavsic, E. Recami, W.A. Rodrigues, G.D. Maccarrone, F. Raciti and G. Salesi: Phys. Lett. B318 (1993) 481.

    [5] M. Pavsic: Phys. Lett. B205 (1988) 231; B221 (1989) 264; Class. Quant. Grav. 7 (1990) L187.

    [6] A.O. Barut and M. Pavsic: Phys. Lett. B216 (1989) 297; F.A. Ikemori: Phys. Lett. B199 (1987) 239. See also D. Hestenes: Found. Phys. 20 (1990) 1213; S. Gull, A. Lasenby and C. Doran: “Electron paths, tunneling and diffraction in the space-time algebra”, to appear in Found. Phys. (1993); D. Hestenes and A. Weingartshofer (eds.): The electron (Kluwer; Dordrecht, 1971), in particular the contributions by H. Kru¨ger, by R. Boudet, and by S. Gull; A. Campolattaro: Int. J. Theor. Phys. 29 (1990) 141; D. Hestenes: Found. Phys. 15 (1985) 63.

    [7] W.A. Rodrigues Jr., J. Vaz, E. Recami and G. Salesi: Phys. Lett. B318 (1993) 623.

    [8] For the physical interpretation of the negative frequency waves, without any recourse to a “Dirac sea”, see e.g. E. Recami: Found. Phys. 8 (1978) 329; E. Recami and W.A. Rodrigues: Found. Phys. 12 (1982) 709; 13 (1983) 533; M. Pavsic and E. Recami: Lett. Nuovo Cim. 34 (1982) 357. See also R. Mignani and E. Recami: Lett. Nuovo Cim. 18 (1977) 5; A. Garuccio et al.: Lett. Nuovo Cim. 27 (1980) 60.

    [9] P. Lounesto: “Clifford algebras, relativity and quantum mechanics”, in Gravitation: The Space-Time Structure - Proceedings of Silarg-VIII, ed. by W.A. Rodrigues et al. (World Scient.; Singapore, 1994).

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