Naslov
Matrix oscillator and Laughlin Hall states

Autori
Meljanac, Stjepan ; Samsarov, Anđelo

Izvornik
Physics Letters A (0375-9601) 351 (2006); 246-250

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

Ključne riječi
Matrix oscillator; Bargmann representation; Laughlin states

Sažetak
We propose a quantum matrix oscillator as a model that provides the construction of the quantum Hall states in a direct way. A connection of this model to the regularized matrix model introduced by Polychronakos is established . By transferring the consideration to the Bargmann representation with the help of a particular similarity transformation, we show that the quantum matrix oscillator describes the quantum mechanics of electrons in the lowest Landau level with the ground state described by the Laughlin-type wave function. The equivalence with the Calogero model in one dimension is emphasized. It is shown that the quantum matrix oscillator and the finite matrix Chern-Simons model have the same spectrum on the singlet state sector.

Izvorni jezik
Engleski

Znanstvena područja
Fizika

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