Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

SIGMA 2 (2006), 035, 11 pages      hep-th/0603140

Calogero Model(s) and Deformed Oscillators

Marijan Milekovic a, Stjepan Meljanac b and Andjelo Samsarov b
a) Physics Department, Faculty of Science, Bijenicka c. 32, 10002 Zagreb, Croatia
b) Rudjer Boskovic Institute, Bijenicka c. 54, 10002 Zagreb, Croatia

Received November 30, 2005, in final form March 02, 2006; Published online March 17, 2006

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.

Key words: Calogero model; deformed oscillator algebra; SN-extended Heisenberg algebra.

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