Naslov
Collective-Field Excitations in the Calogero Model

Autori
Andrić, Ivan ; Bardek, Velimir ; Jonke, Larisa

Izvornik
Fizika B4 (1330-0016) 4 (1995); 93-110

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

Ključne riječi
intermediate statistics; correlation function

Sažetak
We consider the large-N Calogero model in the \h\ collective-field approach based on the $1/N$ expansion. The Bogomol'nyi limit appears and the corresponding equation for the semiclassical configuration gives the correct ground-state energy. Using the method of the orthogonal polynomial we find the excitation spectrum of density fluctuations around the semiclassical solution for any value of the statistical parametar $\l$. The wave functions of the excited states are explicitly constructed as a product of Hermite polynomials in terms of the collective modes.The two-point correlation function is calculated as a series expansion in $1/\rho$ for any intermediate statistics.

Izvorni jezik
Engleski

Znanstvena područja
Fizika

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