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Oriented Atoms in a Variable Magnetic Field

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Abstract

The author calculates the probability of non-adiabatic processes when an oriented atomic beam passes close to a point where the magnetic field vanishes.

Translated from Atomi orientati in campo magnetico variabile, “Il Nuovo Cimento”, vol. 9, 1932, pp. 43–50, by P. Radicati di Brozolo.

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Notes

  1. 1.

    Phipps, T.E., Stern, O.: Z Physik. 73, 185 (1932).

  2. 2.

    Güttinger, P.: Z Physik. 73, 169 (1932).

  3. 3.

    In “Il Nuovo Cimento” it is erroneusly printed ψ 1∕2. (Note of the Editor, see also E. Amaldi, op. cit.)

  4. 4.

    In “Il Nuovo Cimento” it is erroneously printed \( \operatorname {\mathrm {tang}} \frac {\vartheta }{z}\) here and in the following Eq. (3). (Note of the Editor, see also E. Amaldi, op. cit.)

  5. 5.

    In “Il Nuovo Cimento” \(\frac {1}{2}\) and \(-\frac {1}{2}\) are erronously printed in line. (Note of the Editor, see also E. Amaldi, op. cit.)

  6. 6.

    In “Il Nuovo Cimento” it is erroneously printed \(\frac {\pi }{zh}\). (Note of the Editor, see also E. Amaldi, op. cit.)

  7. 7.

    In “Il Nuovo Cimento” it is erroneously printed K, here and also in the 12th line of p. 84. (Note of the Editor, see also E. Amaldi, op. cit.)

  8. 8.

    See, e.g., Whittaker, E.T. and Watson, G.N. Modern Analysis, 4th edition, p. 259.

  9. 9.

    Amaldi, E.: Ettore Majorana, man and scientist. In: Zichichi, A. (ed.) Strong and Weak Interactions, Present Problems, International School of Physics Ettore Majorana, Erice, 19th June–4th July 1966. Academic, New York/London (1966); and E. Amaldi Op. Cit.

  10. 10.

    Frisch, R., Segrè, E.: Ricerche sulla quantizzazione spaziale. Nuovo Cimento. 10, 78 (1933); Über die Einstellung der Richtungsquantelung. Z Phys. 80, 610 (1933).

  11. 11.

    Bloch, F., Rabi, I.I. Atoms in variable magnetic fields. Rev. Mod. Phys. 17, 237 (1945).

  12. 12.

    Landau, L.D., Lifshitz, E.M.: Quantum Mechanics: Non-relativistic Theory. Nauka, Moscow (1974)/Pergamon Press, Oxford (1977).

  13. 13.

    Di Giacomo, F., Nikitin, E.E.: The Majorana formula and the Landau-Zener-Stuckelberg treatment of the avoided crossing problem. Phys. Usp. 48, 515 (2005)

  14. 14.

    Brossel, J., Bitter, F.: A new double resonance method for investigating atomic energy levels. Application to Hg3P 1. Phys. Rev. 86, 308 (1952) see also: Brossel J. Thesis, Faculté des Sciences de l’Université de Paris (1952)

  15. 15.

    Cohen-Tannoudji, C.: Lessons available online at http://www.phys.ens.fr/cours/college-de-france/.

  16. 16.

    Cornell, E.A., Wieman, C.E.: Bose-Einstein condensation in a dilute gas. Rev. Mod. Phys. 74, 875 (2002)

  17. 17.

    Ketterle, W.: When atoms behave as waves. Rev. Mod. Phys. 74, 1173 (2002)

  18. 18.

    Courtesy of F. S. Cataliotti, Università di Catania (2006).

  19. 19.

    Ma, X., et al.: Population oscillation of the multicomponent spinor BEC induced by nonadiabatic transitions. Phys. Rev. A. 73, 013624 (2006).

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Majorana, E. (2020). Oriented Atoms in a Variable Magnetic Field. In: Cifarelli, L. (eds) Scientific Papers of Ettore Majorana. Springer, Cham. https://doi.org/10.1007/978-3-030-23509-3_8

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