Physics and Mathematics of Calogero particles

Abstract

We give a review of the mathematical and physical properties of the celebrated family of Calogero-like models and related spin chains.

Version to appear in Special Issue of Journal of Physics A: Mathematical and General

References in corpus (3)

• Spin Calogero models associated with Riemannian symmetric spaces of negative curvature
• BPS Operators in N=4 SYM: Calogero Models and 2D Fermions
• Explicit computations of low lying eigenfunctions for the quantum trigonometric Calogero-Sutherland model related to the exceptional algebra E7

Cited by in corpus (18)

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• On the Singularities of the Magnon S-matrix
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• Low energy properties of the SU(m|n) supersymmetric Haldane-Shastry spin chain
• Integer Partitions and Exclusion Statistics
• Exactly solvable D_N-type quantum spin models with long-range interaction
• Lobachevsky geometry of (super)conformal mechanics
• Notes on Collective Field Theory of Matrix and Spin Calogero Models
• The classical hydrodynamics of the Calogero-Sutherland model
• Twisted spin Sutherland models from quantum Hamiltonian reduction
• Collective Field Formulation of the Multispecies Calogero Model and its Duality Symmetries
• Remarks on Multi-Dimensional Conformal Mechanics
• Symmetry and Integrability of Non-Singlet Sectors in Matrix Quantum Mechanics
• Matrix Effective Theories of the Fractional Quantum Hall effect
• New strings for old Veneziano amplitudes IV.Connections with spin chains and other stochastic systems
• A note on limit shapes of minimal difference partitions