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We consider the half-wave maps equation $$ \partial_t \vec{S} = \vec{S} \wedge |\nabla| \vec{S}, $$ where $\vec{S}= \vec{S}(t,x)$ takes values on the two-dimensional unit sphere $\mathbb{S}^2$ and $x \in \mathbb{R}$ (real line case) or $x \in \mathbb{T}$ (periodic case).
Lieb, E. H., The classical limit of quantum spin systems
1973
Earlier work this paper cites.
Lakshmanan, M., Continuum spin system as an exactly solvable dynamical system,
1977
Earlier work this paper cites.
Takhtajan, L.A. Integration of the continuous Heisenberg spin chain through the inverse scattering method
1977
Earlier work this paper cites.
Peller, V. V., Hankel operators of class S p S_{p} and their applications (rational approximation, Gaussian processes, the problem of majorization of operators)
1980
Earlier work this paper cites.
Haldane, F. D. M., Exact Jastrow-Gutzwiller resonating-valence-bond ground state of the spin-(1/2 antiferromagnetic Heisenberg chain with 1/ r 2 {\mathrm{r}}^{2} exchange
1988
Earlier work this paper cites.
Shastry, B. S., Exact solution of an S=1/2 Heisenberg antiferromagnetic chain with long-ranged interactions
1988
Cited alongside, same era.
Peller, V.V., Hankel Operators and their applications
2003
Cited alongside, same era.
Sutherland, B., Beautiful Models: 70 Years of Exactly Solved Quantum Many-Body Problems
2004
Cited alongside, same era.
Faddeev, L. D. and Takhtajan, L. A., Hamitonian methods in the theory of solitons
2007
Cited alongside, same era.
Fröhlich, J., Knowles, A. and Lenzmann, E., Semi-classical dynamics in quantum spin systems
2007
Cited alongside, same era.
Bugiera, L. and Lenzmann, E., work in preparation
Cited in the paper.
Da Lio, F. and Rivière, T., Three-term commutator estimates and the regularity of 1 2 \frac{1}{2} -harmonic maps into spheres
2011
Later among the works it cites.
Pocovnicu, O. Explicit formula for the solution of the Szegő equation on the real line and applications,
2011
Later among the works it cites.
Zhou, T. and Stone, M., Solitons in a continuous classical Haldane–Shastry spin chain,
2015
Later among the works it cites.
Gérard, P., and Grellier, S., The cubic Szegő equation and Hankel operators
2017
Closest in time.
Lenzmann, E., and Schikorra, A., On energy–critical half–wave maps into 𝕊 2 \mathbb{S}^{2}
2017
Closest in time.
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