Advertisement

Magnons in a Model with Antiferromagnetic Properties. — II

  • W. Heisenberg
  • K. Yamazaki
Part of the Gesammelte Werke / Collected Works book series (HEISENBERG, volume A / 3)

Summary

The analysis of the model studied in I is continued with. the intention to clarify two problems: the compatibility of the results concerning the magnons (angular momentum zero around the axis) with the requirements of the Goldstone theorem, and the existence of « strange » electrons of spin zero. With regard to the first problem the results of a conventional perturbation theory are compared with the results of the Tamm-Dancoff method; the comparison leads to a better understanding of the dynamics of the magnon vibrations and of their rôle in the Goldstone theorem. Strange electrons of spin zero are a natural consequence of the model and may be compared with, e.g., the singlet states in the optical spectrum of Ca. The rôle of the corresponding states in elementary-particle physics is discussed, especially in connection with an approximate SU 3 behaviour in the spectrum.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. (1).
    W. Heisenberg, H. Wagner and K. Yamazaki: Nuovo Cimento. 59 A, 377 (1969), quoted as I in the present paper.CrossRefGoogle Scholar
  2. (2).
    P. W. Higgs: Phys. Lett., 12, 132 (1964);CrossRefGoogle Scholar
  3. (2a).
    Phys. Bev., 145, 1156 (1966);MathSciNetGoogle Scholar
  4. (2b).
    T. W. B. Kibble: Phys. Rev., 155, 1554 (1967);CrossRefGoogle Scholar
  5. (2c).
    H. P. Dürr and N. Winter: Nuovo Cimento, 70 A, 467 (1970).CrossRefGoogle Scholar
  6. (3).
    See for mathematical detail a paper by K. Yamazaki: An exactly solvable model with antiferromagnetie properties, to be submitted to Progr. Theor. Phys. (Kyoto). Google Scholar
  7. (4).
    W. Heisenberg: Introduction to the Unified Field Theory of Elementary Particles (New York, 1966);zbMATHGoogle Scholar
  8. (4a).
    H. Biritz: Nuovo Cimento, 47 A, 581 (1966).CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1993

Authors and Affiliations

  • W. Heisenberg
    • 1
  • K. Yamazaki
    • 1
  1. 1.Max-Planck-Institut für Physik und AstrophysikMünchenDeutschland

Personalised recommendations