Calogero model, deformed oscillators and the collapse

Abstract

We discuss the behavior of the Calogero model and the related model of deformed oscillators with the S_N extended Heisenberg algebra for a special value of the constant of interaction/statistical parameter nu. The problem with finite number of deformed oscillators is analyzed in the algebraic approach, while collective-field theory has been used to investigate the large-N limit. In this limit, system reduces to a large number of collapsing (free) particles, for nu=-1/N.

Revtex, 7 pages, final version, to appear in PLB

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Cited by in corpus (14)

• Kappa-Minkowski space-time and the star product realizations
• Covariant realizations of kappa-deformed space
• Scalar field theory on kappa-Minkowski spacetime and translation and Lorentz invariance
• Generalized kappa-deformed spaces, star-products, and their realizations
• Kappa-deformed Snyder spacetime
• Kappa Snyder deformations of Minkowski spacetime, realizations and Hopf algebra
• Noncommutative Differential Forms on the kappa-deformed Space
• Kappa-Minkowski spacetime, Kappa-Poincaré Hopf algebra and realizations
• A multispecies Calogero model
• Quantization and Conformal Properties of a Generalized Calogero Model
• Generalized Calogero model in arbitrary dimensions
• Matrix oscillator and Calogero-type models
• Algebra of the observables in the Calogero model and in the Chern-Simons matrix model
• Calogero model with Yukawa like interaction