Hidden symmetry of the Landau-Lifshitz equation, hierarchy of higher equations, and the dual equation for an asymmetric chiral field

Journal Article · Wed Jul 01 00:00:00 EDT 1987 · Theor. Math. Phys.; (United States)

DOI:https://doi.org/10.1007/BF01017006· OSTI ID:5703376

Holod, P I

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), Vol. 70:1; Other Information: Translated from Teoreticheskaya I Matematicheskaya Fizika; 70: No. 1, 18-29(Jan 1987)
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
FERROMAGNETISM
GROUP THEORY
HIDDEN VARIABLES
SU-2 GROUPS
CHIRAL SYMMETRY
COMMUTATION RELATIONS
HAMILTONIANS
INVARIANCE PRINCIPLES
MAGNETIZATION
QUANTUM FIELD THEORY
QUANTUM MECHANICS
VECTORS
FIELD THEORIES
LIE GROUPS
MAGNETISM
MATHEMATICAL OPERATORS
MATHEMATICS
MECHANICS
QUANTUM OPERATORS
SU GROUPS
SYMMETRY
SYMMETRY GROUPS
TENSORS
657002* - Theoretical & Mathematical Physics- Classical & Quantum Mechanics
645400 - High Energy Physics- Field Theory