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Interacting families of Calogero-type particles and SU(1, 1) algebra (CROSBI ID 104348)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Meljanac, Stjepan ; Mileković, Marijan ; Samsarov, Anđelo ; Stojić, Marko Interacting families of Calogero-type particles and SU(1, 1) algebra // Modern physics letters B, 18 (2004), 12-13; 603-613-x

Podaci o odgovornosti

Meljanac, Stjepan ; Mileković, Marijan ; Samsarov, Anđelo ; Stojić, Marko

engleski

Interacting families of Calogero-type particles and SU(1, 1) algebra

We study a one-dimensional model with F interacting families of Calogero-type particles. The model includes harmonic, two-body and three-body interactions. We emphasize the universal SU(1, 1) structure of the model. We show how SU(1, 1) generators for the whole system are composed of SU(1, 1) generators of arbitrary subsystems. We find the exact eigenenergies corresponding to a class of the exact eigenstates of the F-family model. By imposing the conditions for the absence of the three-body interaction, we find certain relations between the coupling constants. Finally, we establish some relations of equivalence between two systems containing F families of Calogero-type particles.

Multispecies Calogero model; SU(1; 1) symmetry; Fock space

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Podaci o izdanju

18 (12-13)

2004.

603-613-x

objavljeno

0217-9849

Povezanost rada

Fizika

Indeksiranost