Naslov
Duality and interacting families in models with the inverse-squared interaction

Autori
Andrić, Ivan ; Jurman, Danijel

Izvornik
Physics letters. A (0375-9601) 313 (2003); 252-256

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

Ključne riječi
Calogero model; inverse-square interaction; duality property

Sažetak
Weak-strong coupling duality relations are shown to be present in the quantum-mechanical many-body system with the interacting potential proportional to the pair-wise inverse-squared distance in addition to the harmonic potential. Using duality relations we have solved the problem of families interacting by the inverse-squared interaction. Owing to duality, the coupling constants of the families are mutually inverse. The spectrum and eigenfunctions are determined mainly algebraically owing to O(2, 1) dynamical symmetry. The constructed Hamiltonian for families and appropriate solutions are of hierarchical nature.

Izvorni jezik
Engleski

Znanstvena područja
Fizika

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