Calogero-Moser system

노트

말뭉치

1. Calogero–Moser system with elliptic potentials are studied.
2. The goal of the present lecture notes is to give an introduction to the theory of Calogero–Moser systems, highlighting their interplay with these fields.
3. The proposed project lies in the areas of integrable systems, and more specifically Calogero-Moser systems, Cherednik algebras and the theory of Frobenius manifolds.
4. This will also give a unified approach to the integrability of generalised Calogero-Moser systems.
5. We also present two important classes of new examples, a family of hyperbolic spin Calogero-Moser systems and the spin Toda lattices.
6. If G is a real reflection group, these families reduce to the known generalizations of elliptic Calogero–Moser systems, but in the non-real case they appear to be new.

메타데이터

Spacy 패턴 목록

• [{'LOWER': 'calogero'}, {'OP': '*'}, {'LOWER': 'moser'}, {'LEMMA': 'system'}]

노트

말뭉치

1. The proposed project lies in the areas of integrable systems, and more specifically Calogero-Moser systems, Cherednik algebras and the theory of Frobenius manifolds.
2. This will also give a unified approach to the integrability of generalised Calogero-Moser systems.
3. Lie algebra coupled to the Calogero-Moser system of n interacting particles on the real line.
4. Calogero-Moser systems are classical and quantum integrable multiparticle dynamics defined for any root system Delta.
5. The associated integrable models (called integrable spin Calogero-Moser systems in the paper) and their Lax pairs are then obtained via Poisson reduction and gauge transformations.

메타데이터

Spacy 패턴 목록

• [{'LOWER': 'calogero'}, {'OP': '*'}, {'LOWER': 'moser'}, {'LEMMA': 'system'}]