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JOURNALS // Symmetry, Integrability and Geometry: Methods and Applications // Archive

SIGMA, 2006 Volume 2, 035, 11 pp. (Mi sigma63)

This article is cited in 1 paper

Calogero Model(s) and Deformed Oscillators

Marijan Milekovića, Stjepan Meljanacb, Andjelo Samsarovb

a Physics Department, Faculty of Science, Bijenička c. 32, 10002 Zagreb, Croatia
b Rudjer Bošković Institute, Bijenička c. 54, 10002 Zagreb, Croatia

Abstract: 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.

Keywords: Calogero model; deformed oscillator algebra; $S_N$-extended Heisenberg algebra.

MSC: 81R12; 81R15; 81Q05; 46L65

Received: November 30, 2005; in final form March 2, 2006; Published online March 17, 2006

Language: English

DOI: 10.3842/SIGMA.2006.035



Bibliographic databases:
ArXiv: hep-th/0603140


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