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

Journal Article · Wed Oct 15 00:00:00 EDT 2014 · Annals of Physics (New York)

DOI:https://doi.org/10.1016/J.AOP.2014.06.010· OSTI ID:22403401

Glushchenko, A. V.

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)×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.

• OSTI ID: 22403401
• Journal Information: Annals of Physics (New York), Vol. 349; Other Information: Copyright (c) 2014 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA); ISSN 0003-4916
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CASIMIR OPERATORS
DEGREES OF FREEDOM
EXCHANGE INTERACTIONS
HAMILTONIANS
KINETIC EQUATIONS
MAGNETS
NONLINEAR PROBLEMS
QUANTUM STATES
SO-3 GROUPS
SO-4 GROUPS
SO-5 GROUPS
SPIN
SU-2 GROUPS
SU-3 GROUPS
SU-4 GROUPS
SYMMETRY