Navegar

Colección

Datos Estadísticas

Artículo

Estamos trabajando para incorporar este artículo al repositorio
Consulte el artículo en la página del editor
Consulte la política de Acceso Abierto del editor

Abstract:

A great effort has been devoted to formulating a classical relativistic theory of spin compatible with quantum relativistic wave equations. The main difficulty in connecting classical and quantum theories rests in finding a parameter that plays the role of proper time at a purely quantum level. We present a partial review of several proposals of classical and quantum spin theories from the pioneering works of Thomas and Frenkel, revisited in the classical BMT work, to the semiclassical model of Barut and Zanghi. We show that the last model can be obtained from a semiclassical limit of the Feynman proper time parametrization of the Dirac equation. At the quantum level, we derive spin precession equations in the Heisenberg picture. Analogies and differences with respect to classical theories are discussed in detail.

Registro:

Documento: Artículo
Título:Classical and Quantum Theories of Spin
Autor:Gaioli, F.H.; Garcia Alvarez, E.T.
Filiación:Inst. Astronomia y Fis. del Espacio, C.C. 67, Suc. 28, 1428 Buenos Aires, Argentina
Departamento de Física, Fac. de Ciencias Exactas y Naturales, Universidad de Buenos Aires, 1428 Buenos Aires, Argentina
Año:1998
Volumen:28
Número:10
Página de inicio:1539
Página de fin:1550
DOI: http://dx.doi.org/10.1023/A:1018834217984
Título revista:Foundations of Physics
Título revista abreviado:Found. Phys.
ISSN:00159018
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00159018_v28_n10_p1539_Gaioli

Referencias:

  • Rubinow, S.I., Keller, J.B., (1963) Phys. Rev., 131, p. 2789
  • Rafanelli, K., Schiller, R., (1964) Phys. Rev., 135, pp. B279
  • Aparicio, J.P., Gaioli, F.H., Garcia Alvarez, E.T., (1995) Phys. Rev. A, 51, p. 96
  • Fock, V., (1937) Phys. Z. Sowjetunion, 12, p. 404
  • Beck, G., (1942) Rev. Faculdade Ciencias Coimbra, 10, p. 66
  • Stückelberg, E.C.G., (1941) Helv. Phys. Acta, 14, p. 322
  • (1942) Helv. Phys. Acta, 15, p. 23
  • Feynman, R.P., (1948) Alternative Formulation of Quantum Electrodynamics, , Pocono Conference, Pennsylvania, quoted in Ref. 39
  • Feynman, R.P., (1950) Phys. Rev., 80, p. 440
  • Feynman, R.P., (1951) Phys. Rev., 84, p. 108
  • Nambu, Y., (1950) Prog. Theor. Phys., 5, p. 82
  • Schwinger, J., (1951) Phys. Rev., 82, p. 664
  • Frenkel, J., (1926) Z. Phys., 37, p. 243
  • Thomas, L.T., (1927) Phil. Mag., 3, p. 1
  • Bargmann, V., Michel, L., Telegdi, V.L., (1959) Phys. Rev. Lett., 2, p. 435
  • Barut, A.O., Zanghi, N., (1984) Phys. Rev. Lett., 52, p. 2009
  • Mathisson, M., (1937) Acta Phys. Polon., 6, p. 163
  • (1937) Acta Phys. Polon., 6, p. 218
  • Weyssenhoff, J., Raabe, A., (1947) Acta Phys. Polon., 9, p. 7
  • (1947) Acta Phys. Polon., 9, p. 19
  • Papapetrou, A., (1951) Proc. Roy. Soc. (London), A209, p. 248
  • Kramers, H.A., (1934) Physica, 1, p. 825
  • Pauli, W., (1932) Helv. Phys. Acta, 5, p. 179
  • Garcia Alvarez, E.T., Ph.D. thesis, Universidad de Buenos Aires (in preparation); Michel, L., Wightman, A.S., (1955) Phys. Rev., 98, p. 1190
  • Aparicio, J.P., Gaioli, F.H., Garcia Alvarez, E.T., Hurtado De Mendoza, D.F., Kálnay, A.J., (1991) Anales AFA, 3, p. 46
  • Aparicio, J.P., Gaioli, F.H., Garcia Alvarez, E.T., (1992) Anales AFA, 4, p. 9
  • Aparicio, J.P., Gaioli, F.H., Garcia Alvarez, E.T., (1995) Phys. Lett. A, 200, p. 233
  • Garcia Alvarez, E.T., Gaioli, F.H., (1997) Proceedings of the XXI International Colloquium on Group Theoretical Methods in Physics, 1, p. 514. , Group 21, H. E. Doebner, W. Scherer, and P. Natermann, eds. World Scientific, Singapore
  • Garcia Alvarez, E.T., Gaioli, F.H., (1997) Int. J. Theor. Phys., 36, p. 2391
  • Garcia Alvarez, E.T., Gaioli, F.H., (1998) Found. Phys., 28, p. 1529
  • Barut, A.O., Thacker, W., (1985) Phys. Rev. D, 31, p. 2076
  • Feynman, R.P., (1949) Phys. Rev., 76, p. 749
  • Gaioli, F.H., Garcia Alvarez, E.T., (1995) Am. J. Phys., 63, p. 177
  • Proca, A., (1954) J. Phys. Rad., 15, p. 65
  • Barut, A.O., Pavsic, M., (1987) Class. Quantum Grav., 4, pp. L41
  • (1987) Class. Quantum Grav., 4, pp. L131
  • Barut, A.O., Unäl, N., (1993) Found. Phys., 23, p. 1423
  • Barut, A.O., Thacker, W., (1985) Phys. Rev. D, 31, p. 1386
  • Huang, K., (1952) J. Phys., 20, p. 479
  • Barut, A.O., Bracken, A.J., (1981) Phys. Rev. D, 23, p. 2454
  • Barut, A.O., Cruz, M.G., (1993) J. Phys. A: Math. Gen., 26, p. 6499
  • Schweber, S.S., (1986) Rev. Mod. Phys., 58, p. 449

Citas:

---------- APA ----------
Gaioli, F.H. & Garcia Alvarez, E.T. (1998) . Classical and Quantum Theories of Spin. Foundations of Physics, 28(10), 1539-1550.
http://dx.doi.org/10.1023/A:1018834217984
---------- CHICAGO ----------
Gaioli, F.H., Garcia Alvarez, E.T. "Classical and Quantum Theories of Spin" . Foundations of Physics 28, no. 10 (1998) : 1539-1550.
http://dx.doi.org/10.1023/A:1018834217984
---------- MLA ----------
Gaioli, F.H., Garcia Alvarez, E.T. "Classical and Quantum Theories of Spin" . Foundations of Physics, vol. 28, no. 10, 1998, pp. 1539-1550.
http://dx.doi.org/10.1023/A:1018834217984
---------- VANCOUVER ----------
Gaioli, F.H., Garcia Alvarez, E.T. Classical and Quantum Theories of Spin. Found. Phys. 1998;28(10):1539-1550.
http://dx.doi.org/10.1023/A:1018834217984