Посилання:Calogero Model(s) and Deformed Oscillators / M. Milekovic, S. Meljanac, A. Samsarov // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 36 назв. — англ.
Підтримка:One of the authors (M.M.) would like to thank organizers of the Sixth International Conference “Symmetry in Nonlinear Mathematical Physics” (June 20–26, 2005, Kyiv) for their invitation and warm hospitality. The present paper is a written version of the talk delivered by M.M. at this conference. It is supported by Ministry of Science, Education and Sport of the Republic of Croatia (contracts Nos. 0119261 and 0098003).
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.