Abstract
The electron is conceived here as a complex structure composed of a subparticle that is bound to a nearly circular motion. Although in quantum mechanics the spin is not representable, in classical stochastic physics this corresponds to the angular momentum of the subparticle. In fact, assuming Schrödinger-type hydrodynamic equations of motion for the subparticle, the spin-1/2 representation in configuration space and the corresponding Pauli matrices for the electron are obtained. The Hamiltonian of Pauli's theory as the nonrelativistic limit of Dirac's equation is also derived.
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References
E. Nelson,Phys. Rev. 150, 1079 (1966).
G. Cavalleri,Phys. Rev. D 23, 363 (1981).
M. Surdin,Ann. Inst. Henry Poincaré 15, 203 (1971); T. H. Boyer,Phys. Rev. D 11, 79, 809 (1975).
T. H. Boyer,Phys. Rev. 18, 1238 (1978); P. Claverie and S. Diner,Int. J. Quantum Chem. 2,Suppl. 1, 41 (1977).
P. Claverie and S. Diner,Int. J. Quantum Chem. 12,Suppl. 1, 41 (1977); P. Claverie, L. Pesquera, and F. Soto,Phys. Lett. A 80, 113 (1980); T. W. Marshall and P. Claverie,J. Math. Phys. 21, 1819 (1980).
G. Cavalleri,Lett. Nuovo Cimento 43, 285 (1985).
G. Cavalleri and G. Spavieri,Nuovo Cimento B 95, 194 (1986).
D. Hestenes,J. Math. Phys. 16, 568 (1975);Am. J. Phys. 47, 399 (1979) and references therein.
J. C. Aron,Found. Phys. 11, 863 (1981).
A. O. Barut and A. J. Bracken,Phys. Rev. D 23, 2454 (1981); A. O. Barut and N. Zanghi,Phys. Rev. Lett. 52, 2009 (1984).
A. Rueda and G. Cavalleri,Nuovo Cimento C 6, 239 (1983).
A. Messiah,Quantum Mechanics (Wiley, New York, 1960), Vol. II, Chaps. XX-35 and XII-19.
S. Iida,J. Phys. Soc. Jpn. 37, 1183 (1974).
D. Hestenes,Found. Phys. 15, 63 (1985).
F. Guerra and R. Marra,Phys. Rev. D 28, 1916 (1983); F. Guerra and L. Morato,Phys. Rev. D 27, 1774 (1983).
J. Salazar and G. Spavieri,Nuovo Cimento B 92, 157 (1986).
M. A. Kramers,Quantum Mechanics (Dover, New York, 1964), Chap. 6.
W. Pauli,Z. Phys. 31, 765 (1925).
R. L. Seliger and G. B. Whitman,Proc. R. Soc. London A 305, 1 (1968); E. A. Spiegel,Physica D 1, 236 (1980).
G. Spavieri,Nuovo Cimento B 86, 177 (1985).
G. Cavalleri and G. Spinelli,Nuovo Cimento B 39, 93 (1977); G. Cavalleri,Nuovo Cimento B 55, 392 (1980).
E. Schrödinger,Sitzungsber. Preuss. Akad. Wiss. Phys. Math. Kl 24, 418 (1930).
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On sabbatical leave from Universidad de Los Andes, Merida, 5101 Venezuela.
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Spavieri, G. Model of the electron spin in stochastic physics. Found Phys 20, 45–61 (1990). https://doi.org/10.1007/BF00732934
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DOI: https://doi.org/10.1007/BF00732934