Foundations of Physics Letters

, Volume 9, Issue 2, pp 121–131 | Cite as

On possibility of classical description of spin motion in inhomogenous electromagnetic fields

  • Elcouno A. Perelstein
  • Maxim E. Perelstein
Article
  • 28 Downloads

Abstract

The possibility of classical description of spin motion in inhomogenous magnetic field is limited by the effects of beam splitting and depolarization. We use the analytical solution of a quantum problem on passage of spin-1/2 particle through a Stern-Gerlach apparatus in Wigner formalism to study these effects and to set the quantitative conditions for the applicability of classical equations in this case. The depolarization is shown to occur more quickly then the spatial separation of the beams because of the splitting in momentum space.

Key words

spin motion Stern- Gerlach effect 

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References

  1. 1.
    V. Bargmann, L. Michel, V. L. Telegdi,Phys. Rev. Lett. 2, 435 (1959).CrossRefGoogle Scholar
  2. 2.
    F. Bloch,Phys. Rev. 70, 460 (1946).CrossRefGoogle Scholar
  3. 3.
    I. B. Khriplovich,Zh. Eksp. Theor. Fiz. 96, 385 (1989).Google Scholar
  4. 4.
    M. Bander and K. Yee,Phys. Rev. D 48, 2797 (1993).CrossRefGoogle Scholar
  5. 5.
    D. Bohm,Quantum Theory (Prentice Hall, New Jersey, 1951), pp. 326–327, 597.Google Scholar
  6. 6.
    C. W. Müller and F. W. Metz,J. Phys. A 27, 3511 (1994).Google Scholar
  7. 7.
    H. Weyl,Gruppentheorie und Quantenmechanik (Hirzel-Verlag, Leipzig, 1929).Google Scholar
  8. 8.
    E. P. Wigner,Phys. Rev. 40, 749 (1932).CrossRefGoogle Scholar
  9. 9.
    J. E. Moyal,Proc. Cambridge Philos. Soc. 45, 99 (1949).Google Scholar
  10. 10.
    J. M. Gracia-Bondia and J. C. Varilly,Ann. Phys. 190, 107 (1989); J. M. Gracia-Bondia and J. C. Varilly,J. Phys. A 21, L879 (1988).CrossRefGoogle Scholar
  11. 11.
    M. Scully, R. Shea, and J. McCullen,Phys. Rep. 43, 487 (1978); M. Scully, W. E. Lamb, and A. Barut,Found. Phys. 17, 575 (1987).CrossRefGoogle Scholar
  12. 12.
    B. G. Englert, J. Schwinger, M. Scully,Found. Phys. 18 1045 (1988); M. Scully, J. Schwinger, B. G. Englert,Phys. Rev. A 40, 1775 (1989); M. Scully, J. Schwinger, B. G. Englert,Z. Phys. D 10, 135 (1988).CrossRefMathSciNetGoogle Scholar
  13. 13.
    C. W. Müller,Phys. Lett. A 193, 1 (1994).CrossRefGoogle Scholar

Copyright information

© Plenum Publishing Corporation 1996

Authors and Affiliations

  • Elcouno A. Perelstein
    • 1
  • Maxim E. Perelstein
    • 1
  1. 1.Laboratory of Nuclear ProblemsJoint Institute for Nuclear ResearchDubna, Moscow RegionRussia

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