Calogero Model(s) and Deformed Oscillators

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We briefly review some recent results concerning algebraical (oscillator) aspects of the $N$-body single-species and multispecies Calogero models in one dimension. We show how these models emerge from the matrix generalization of the harmonic oscillator Hamiltonian. We make some comments on the solvability of these models.
Published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/

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High Energy Physics - Theory, Mathematical Physics, Exactly Solvable and Integrable Systems

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http://salesiana.dossiersoluciones.com/handle/123456789/213072

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/hep-th/0603140
 http://arxiv.org/abs/hep-th/0603140
 SIGMA 2:035,2006
 doi:10.3842/SIGMA.2006.035

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