Nalazite se na CroRIS probnoj okolini. Ovdje evidentirani podaci neće biti pohranjeni u Informacijskom sustavu znanosti RH. Ako je ovo greška, CroRIS produkcijskoj okolini moguće je pristupi putem poveznice www.croris.hr
izvor podataka: crosbi

Matrix oscillator and Laughlin Hall states (CROSBI ID 121270)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Meljanac, Stjepan ; Samsarov, Anđelo Matrix oscillator and Laughlin Hall states // Physics letters. A, 351 (2006), 246-250-x

Podaci o odgovornosti

Meljanac, Stjepan ; Samsarov, Anđelo

engleski

Matrix oscillator and Laughlin Hall states

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.

Matrix oscillator; Bargmann representation; Laughlin states

nije evidentirano

nije evidentirano

nije evidentirano

nije evidentirano

nije evidentirano

nije evidentirano

Podaci o izdanju

351

2006.

246-250-x

objavljeno

0375-9601

Povezanost rada

Fizika

Indeksiranost