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

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

Izvornik
Modern Physics Letters B (0217-9849) 18 (2004), 12-13; 603-613

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

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

Sažetak
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.

Izvorni jezik
Engleski

Znanstvena područja
Fizika

POVEZANOST RADA