منابع مشابه
Integrable 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 کاملUniversality 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 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 کاملLectures on Calogero-moser Systems
Calogero-Moser systems, which were originally discovered by specialists in integrable systems, are currently at the crossroads of many areas of mathematics and within the scope of interests of many mathematicians. More specifically, these systems and their generalizations turned out to have intrinsic connections with such fields as algebraic geometry (Hilbert schemes of surfaces), representatio...
متن کاملHidden symmetry of the quantum Calogero-Moser system
Hidden symmetry of the quantum Calogero-Moser system with the inverse-square potential is explicitly demonstrated in algebraic sense. We find the underlying algebra explaining the super-integrability phenomenon for this system. Applications to related multi-variable Bessel functions are also discussed.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Scholarpedia
سال: 2008
ISSN: 1941-6016
DOI: 10.4249/scholarpedia.7216