SU(2s+1) symmetry and nonlinear dynamics of high spin magnets

被引:9
|
作者
Kovalevsky, M. Y. [1 ]
Glushchenko, A. V. [1 ]
机构
[1] Kharkov Inst Phys & Technol, UA-61108 Kharkov, Ukraine
关键词
Spin; Symmetry; Hamiltonian; Dynamics; Poisson bracket; FIELD; FERROMAGNETS; CONDENSATE; EQUATION; SYSTEMS; PHYSICS; PHASES; GASES; CEB6;
D O I
10.1016/j.aop.2014.06.010
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The article is devoted to the description of dynamics of magnets with arbitrary spin on the basis of the Hamiltonian formalism. The relationship of quantum states and magnetic degrees of freedom has been considered. Subalgebras of Poisson bracket of magnetic values for spin s = 1/2; 1; 3/2 have been established. We have obtained non-linear dynamic equations for the normal and degenerate non-equilibrium states of high-spin magnets with the SO(3), SU(4), SU(2) x SU(2), SU(3), SO(4), SO(5) symmetries of exchange interaction. The connection between models of magnetic exchange energy and the Casimir invariants has been discussed. (C) 2014 Elsevier Inc. All rights reserved.
引用
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页码:55 / 72
页数:18
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