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Teoreticheskaya i Matematicheskaya Fizika, 1993, Volume 95, Number 1, Pages 58–73
(Mi tmf1446)
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This article is cited in 2 scientific papers (total in 2 papers)
Hamiltonian approach to the theory of antiferromagnetic systems
A. A. Isaev, M. Yu. Kovalevsky, S. V. Peletminskii National Science Centre Kharkov Institute of Physics and Technology
Abstract:
The dynamical equations of an antiferromagnetic are obtained in the exchange approximation in the framework of the Hamiltonian approach, and the differential conservation laws associated with the symmetries of the Hamiltonian system are studied. The general structure of infinitesimally small transformations that leave the Poisson brackets of the dynamical
variables – the spin density $s_\alpha$ and the antiferromagnetism vector $l_\alpha$ invariant is found. The spectrum of spin waves is determined, and the lowfrequency asymptotic behavior of the Green's functions of arbitrary dynamical variablesa andb is obtained. The connection between the Hamiltonian and Lagrangian approaches to the theory of antiferromagnetic systems is established.
Received: 19.05.1992
Citation:
A. A. Isaev, M. Yu. Kovalevsky, S. V. Peletminskii, “Hamiltonian approach to the theory of antiferromagnetic systems”, TMF, 95:1 (1993), 58–73; Theoret. and Math. Phys., 95:1 (1993), 404–415
Linking options:
https://www.mathnet.ru/eng/tmf1446 https://www.mathnet.ru/eng/tmf/v95/i1/p58
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Abstract page: | 330 | Full-text PDF : | 128 | References: | 32 | First page: | 1 |
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