Calogero Models for Distinguishable Particles

Abstract

Motivated by topological bidimensional quantum models for distinguishable particles, and by Haldane's definition of mutual statistics for different species of particles, we propose a new class of one-dimensional $1/r_{ij}^2$ Calogero model with coupling constants $g_{ij}$ depending on the labels of the particles. We solve the groundstate problem, and show how to build some classes of excited states.

11 pages

Cited by in corpus (11)

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• A multispecies Calogero-Sutherland model
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• Generalized Calogero model in arbitrary dimensions
• Matrix oscillator and Calogero-type models
• Statistical mechanics and thermodynamics for multispecies exclusion statistics
• Towards a quantum-mechanical model for multispecies exclusion statistics
• Collective Field Formulation of the Multispecies Calogero Model and its Duality Symmetries
• Solitons in the Calogero model for distinguishable particles
• From Vertex Operators to Calogero-Sutherland Models
• Calogero Model(s) and Deformed Oscillators