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arxiv: 1811.08770 · v2 · pith:U6NX32XOnew · submitted 2018-11-21 · 🧮 math-ph · hep-th· math.MP· nlin.SI

A Dual Construction of the Isotropic Landau-Lifshitz Model

classification 🧮 math-ph hep-thmath.MPnlin.SI
keywords constructiondualisotropiclandau-lifshitzmodelspacetimebrackets
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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.

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