منابع مشابه
Universality of Calogero-Moser Model
In this review we explain interrelations between the Elliptic Calogero-Moser model, integrable Elliptic Euler-Arnold top, monodromy preserving equations and the KnizhnikZamolodchikov-Bernard equation on a torus. Dedicated to 70-th birthday of Francesco Calogero
متن کاملIntegrable spin Calogero-Moser systems
We introduce spin Calogero-Moser systems associated with root systems of simple Lie algebras and give the associated Lax representations (with spectral parameter) and fundamental Poisson bracket relations. The associated integrable models (called integrable spin CalogeroMoser systems in the paper) and their Lax pairs are then obtained via Poisson reduction and gauge transformations. For Lie alg...
متن کاملOn Singular Calogero-moser Spaces
Using combinatorial properties of complex reflection groups we show that if the group W is different from the wreath product Sn ≀ Z/mZ and the binary tetrahedral group (labelled G(m, 1, n) and G4 respectively in the Shephard-Todd classification), then the generalised Calogero-Moser space Xc associated to the centre of the rational Cherednik algebra H0,c(W ) is singular for all values of the par...
متن کاملA time-discretized version of the Calogero-Moser model
We introduce an integrable time-discretized version of the classical CalogeroMoser model, which goes to the original model in a continuum limit. This discrete model is obtained from pole solutions of a discretized version of the Kadomtsev-Petviashvili equation, leading to a finite-dimensional symplectic mapping. Lax pair, symplectic structure and sufficient set of invariants of the discrete Cal...
متن کاملOn the Eigenstates of the Elliptic Calogero-moser Model
It is known that the trigonometric Calogero-Sutherland model is obtained by the trigonometric limit (τ → √ −1∞) of the elliptic CalogeroMoser model, where (1, τ) is a basic period of the elliptic function. We show that for all square-integrable eigenstates and eigenvalues of the Hamiltonian of the Calogero-Sutherland model, if exp(2π √ −1τ) is small enough then there exist square-integrable eig...
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ژورنال
عنوان ژورنال: Journal of Nonlinear Mathematical Physics
سال: 2005
ISSN: 1776-0852
DOI: 10.2991/jnmp.2005.12.s1.42