Loop groups, \(R\)-matrices and separation of variables (Q2709051)

From MaRDI portal





scientific article
Language Label Description Also known as
English
Loop groups, \(R\)-matrices and separation of variables
scientific article

    Statements

    0 references
    31 August 2001
    0 references
    loop groups
    0 references
    \(R\)-matrices
    0 references
    Lax formulation
    0 references
    Loop groups, \(R\)-matrices and separation of variables (English)
    0 references
    The Neumann-Rosochatius system of constrained harmonic oscillators on spheres, the classical Gaudin spin system, the periodic Toda lattice system and the cubic nonlinear Schrödinger system are naturally introduced in the framework of loop groups, \(R\)-matrices and the separation of variables, and then some of their properties are nicely pointed out.NEWLINENEWLINEFor the entire collection see [Zbl 0952.00031].
    0 references
    0 references

    Identifiers

    0 references
    0 references
    0 references
    0 references