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