FIZIKA B 4 (1995) 2, 93-110

COLLECTIVE-FIELD EXCITATIONS IN THE CALOGERO MODEL

IVAN ANDRIĆ, VELIMIR BARDEK and LARISA JONKE
Department of Theoretical Physics,
Rudjer Bošković Institute, P.O. Box 1016,
41001 Zagreb, Croatia

Received 22 May 1995

We consider the large-N Calogero model in the Hamiltonian 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 parameter 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/r for any intermediate statistics.

UDC 531.19
PACS 03.65.Ss, 05.50.-d, 71.10.+x

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