

FIZIKA B 4 (1995) 2, 93110 COLLECTIVEFIELD EXCITATIONS IN THE CALOGERO MODELIVAN ANDRIĆ, VELIMIR BARDEK and LARISA JONKE Received 22 May 1995We consider the largeN Calogero model in the Hamiltonian collectivefield approach based on the 1/N expansion. The Bogomol'nyi limit appears and the corresponding equation for the semiclassical configuration gives the correct groundstate 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 twopoint correlation function is calculated as a series expansion in 1/r for any intermediate statistics. UDC 531.19

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