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Part of the book series: Gesammelte Werke / Collected Works ((1853,volume A / 3))

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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.

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References

  1. W. Heisenberg, H. Wagner and K. Yamazaki: Nuovo Cimento. 59 A, 377 (1969), quoted as I in the present paper.

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  2. P. W. Higgs: Phys. Lett., 12, 132 (1964);

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  3. Phys. Bev., 145, 1156 (1966);

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  4. T. W. B. Kibble: Phys. Rev., 155, 1554 (1967);

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  5. H. P. Dürr and N. Winter: Nuovo Cimento, 70 A, 467 (1970).

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  6. See for mathematical detail a paper by K. Yamazaki: An exactly solvable model with antiferromagnetie properties, to be submitted to Progr. Theor. Phys. (Kyoto).

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  7. W. Heisenberg: Introduction to the Unified Field Theory of Elementary Particles (New York, 1966);

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  8. H. Biritz: Nuovo Cimento, 47 A, 581 (1966).

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© 1993 Springer-Verlag Berlin Heidelberg

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Heisenberg, W., Yamazaki, K. (1993). Magnons in a Model with Antiferromagnetic Properties. — II. In: Blum, W., Dürr, HP., Rechenberg, H. (eds) Original Scientific Papers / Wissenschaftliche Originalarbeiten. Gesammelte Werke / Collected Works, vol A / 3. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-70079-8_36

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  • DOI: https://doi.org/10.1007/978-3-642-70079-8_36

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-70080-4

  • Online ISBN: 978-3-642-70079-8

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