Matrix oscillator and Calogero-type models

Abstract

We study a single matrix oscillator with the quadratic Hamiltonian and deformed commutation relations. It is equivalent to the multispecies Calogero model in one dimension, with inverse-square two-body and three-body interactions. Specially, we have constructed a new matrix realization of the Calogero model for identical particles, without using exchange operators. The critical points at which singular behaviour occurs are briefly discussed.

Accepted for publication in Phys.Lett. B

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Cited by in corpus (8)

• Quantization and Conformal Properties of a Generalized Calogero Model
• Universal properties of conformal quantum many-body systems
• Solitons in the Calogero model for distinguishable particles
• Collective Field Formulation of the Multispecies Calogero Model and its Duality Symmetries
• Waves and Solitons in the Calogero Model - Revisited
• Matrix oscillator and Laughlin Hall states
• Calogero model with Yukawa like interaction
• Calogero Model(s) and Deformed Oscillators