Calogero Model(s) and Deformed Oscillators

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2006
• ISSN: 1815-0659
• Main Authors: Milekovic, M., Meljanac, S., Samsarov, A.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2006
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/146426
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: 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.

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 solvab...