Hidden symmetry of the Landau-Lifshitz equation, hierarchy of higher equations, and the dual equation for an asymmetric chiral field
Journal Article
·
· Theor. Math. Phys.; (United States)
A group-theoretical scheme is developed for constructing higher stationary Landau-Lifshitz equations in the form of Euler equations on the orbits of the algebra of su(2)-valued functions on an elliptic curve. Duality between the Landau-Lifshitz equation and the equation for the currents of an asymmetric chiral O(3) field is established.
- OSTI ID:
- 5703376
- Journal Information:
- Theor. Math. Phys.; (United States), Journal Name: Theor. Math. Phys.; (United States) Vol. 70:1; ISSN TMPHA
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
645400 -- High Energy Physics-- Field Theory
657002* -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CHIRAL SYMMETRY
COMMUTATION RELATIONS
FERROMAGNETISM
FIELD THEORIES
GROUP THEORY
HAMILTONIANS
HIDDEN VARIABLES
INVARIANCE PRINCIPLES
LIE GROUPS
MAGNETISM
MAGNETIZATION
MATHEMATICAL OPERATORS
MATHEMATICS
MECHANICS
QUANTUM FIELD THEORY
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QUANTUM OPERATORS
SU GROUPS
SU-2 GROUPS
SYMMETRY
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TENSORS
VECTORS
657002* -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CHIRAL SYMMETRY
COMMUTATION RELATIONS
FERROMAGNETISM
FIELD THEORIES
GROUP THEORY
HAMILTONIANS
HIDDEN VARIABLES
INVARIANCE PRINCIPLES
LIE GROUPS
MAGNETISM
MAGNETIZATION
MATHEMATICAL OPERATORS
MATHEMATICS
MECHANICS
QUANTUM FIELD THEORY
QUANTUM MECHANICS
QUANTUM OPERATORS
SU GROUPS
SU-2 GROUPS
SYMMETRY
SYMMETRY GROUPS
TENSORS
VECTORS