A Dual Construction of the Isotropic Landau-Lifshitz Model
Mathematical Physics
2019-07-05 v2 High Energy Physics - Theory
math.MP
Exactly Solvable and Integrable Systems
Abstract
By interchanging the roles of the space and time coordinates, we describe a dual construction of the isotropic Landau-Lifshitz model, providing equal-space Poisson brackets and dual Hamiltonians conserved with respect to space-evolution. This construction is built in the Lax/zero-curvature formalism, where the duality between the space and time dependencies is evident.
Keywords
Cite
@article{arxiv.1811.08770,
title = {A Dual Construction of the Isotropic Landau-Lifshitz Model},
author = {Iain Findlay},
journal= {arXiv preprint arXiv:1811.08770},
year = {2019}
}
Comments
18 Pages, LaTeX; Version accepted for publication in Physica D: Nonlinear Phenomena