Abstract
AbstractWe prove the consistency of the Bäcklund transformation (BT) for the spin Calogero–Moser (sCM) system in the rational, trigonometric, and hyperbolic cases. The BT for the sCM system consists of an overdetermined system of ordinary differential equations; to establish our result, we construct and analyze certain functions that measure the departure of this overdetermined system from consistency. We show that these functions are identically zero and that this allows for a unique solution to the initial value problem for the overdetermined system.
Funder
Stiftelsen Olle Engkvist Byggmästare
Publisher
Springer Science and Business Media LLC
Subject
Geometry and Topology,Mathematical Physics
Reference10 articles.
1. Gibbons, J., Hermsen, T.: A generalisation of the Calogero-Moser system. Physica D 11, 337–348 (1984). https://doi.org/10.1016/0167-2789(84)90015-0
2. Wojciechowski, S.: An integrable marriage of the Euler equations to the Calogero-Moser system. Physica D 28, 101–103 (1985). https://doi.org/10.1016/0375-9601(85)90432-3
3. Krichever, I., Babelon, O., Billey, E., Talon, M.: Spin generalization of the Calogero-Moser system and the matrix KP equation. In: Novikov, S.P. (ed.) Topics in Topology and Mathematical Physics, vol. 170, pp. 83–120. American Mathematical Society, Providence (1995)
4. Gibbons, J., Hermsen, T., Wojciechowski, S.: A Bäcklund transformation for a generalised Calogero-Moser system. Phys. Lett. A 94, 251–253 (1983). https://doi.org/10.1016/0375-9601(83)90710-7
5. Zabrodin, A.: Time discretization of the spin Calogero-Moser model and the semi-discrete matrix KP hierarchy. J. Math. Phys. 60, 033502 (2019). https://doi.org/10.1063/1.5081021
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