Calogero Model(s) and Deformed Oscillators

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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Published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/

Scientific paper

10.3842/SIGMA.2006.035

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.

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