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Symmetry, Integrability and Geometry: Methods and Applications, 2006, Volume 2, 035, 11 pp.
DOI: https://doi.org/10.3842/SIGMA.2006.035 (Mi sigma63) 		 
This article is cited in 1 scientific paper (total 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
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DOI: https://doi.org/10.3842/SIGMA.2006.035
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.
Received: November 30, 2005; in final form March 2, 2006; Published online March 17, 2006
Bibliographic databases:
Document Type: Article
MSC: 81R12; 81R15; 81Q05; 46L65
Language: English
Citation: Marijan Mileković, Stjepan Meljanac, Andjelo Samsarov, “Calogero Model(s) and Deformed Oscillators”, SIGMA, 2 (2006), 035, 11 pp.
Citation in format AMSBIB
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\by Marijan Milekovi{\'c}, Stjepan Meljanac, Andjelo Samsarov
\paper Calogero Model(s) and Deformed Oscillators
\jour SIGMA
\yr 2006
\vol 2
\papernumber 035
\totalpages 11
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    		Symmetry, Integrability and Geometry: Methods and Applications
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