Magnons in a Model with Antiferromagnetic Properties. — II
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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- (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