Naslov
Generalized Calogero model in arbitrary dimensions

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

Izvornik
Physics letters. B (0370-2693) 594 (2004), 1-2; 241-246

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

Ključne riječi
Multispecies Calogero model; SU(1; 1) algebra

Sažetak
We define a new multispecies model of Calogero type in D dimensions with harmonic, two-body and three-body interactions. Using the underlying conformal $SU(1, 1)$ algebra, we indicate how to find the complete set of the states in Bargmann-Fock space. There are towers of states, with equidistant energy spectra in each tower. We explicitely construct all polynomial eigenstates, namely the center-of-mass states and global dilatation modes, and find their corresponding eigenenergies. We also construct ladder operators for these global collective states. Analysing corresponding Fock space, we detect the universal critical point at which the model exhibits singular behavior. The above results are universal for all systems with underlying conformal $SU(1, 1)$ symmetry.

Izvorni jezik
Engleski

Znanstvena područja
Fizika

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