Pregled bibliografske jedinice broj: 261469
Matrix formulation of Calogero-type models
Matrix formulation of Calogero-type models // Proceedings of the III Summer School in Modern Mathematical Physics / B. Dragovich, Z. Rakić, B. Sazdović (ur.).
Beograd, 2005. str. 429-437 (predavanje, međunarodna recenzija, cjeloviti rad (in extenso), znanstveni)
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Naslov
Matrix formulation of Calogero-type models
Autori
Meljanac, Stjepan ; Samsarov, Andjelo
Vrsta, podvrsta i kategorija rada
Radovi u zbornicima skupova, cjeloviti rad (in extenso), znanstveni
Izvornik
Proceedings of the III Summer School in Modern Mathematical Physics
/ B. Dragovich, Z. Rakić, B. Sazdović - Beograd, 2005, 429-437
Skup
Summer School in Modern Mathematical Physics
Mjesto i datum
Zlatibor, Jugoslavija, 20.08.2004. - 31.08.2004
Vrsta sudjelovanja
Predavanje
Vrsta recenzije
Međunarodna recenzija
Ključne riječi
matrix oscillator; Bargmann representation; Fock space
Sažetak
We study a single matrix oscillator with the quadratic Hamiltonian and deformed commutation relations. It is equivalent to the multispecies Calogero model in one dimension, with inverse-square two-body and three-body interactions. Specially, a new matrix realization of the Calogero model for identical particles have been constructed, without using exchange operators. The critical points at which singular behaviour occurs are briefly discussed. At the end, a connection of a quantum matrix oscillator to a modified matrix Chern-Simons model is established. The quantum mechanics of electrons in the lowest Landau level is shown to be described by the matrix oscillator model with the ground state wave function of the Laughlin type.
Izvorni jezik
Engleski
Znanstvena područja
Fizika
