Original scientific paper

Collective-field excitations in the Calogero model

Ivan Andrić ; Department of Theoretical Physics, Rudjer Bošković Institute, P.O. Box 1016, 41001 Zagreb, Croatia
Velimir Bardek ; Department of Theoretical Physics, Rudjer Bošković Institute, P.O. Box 1016, 41001 Zagreb, Croatia
Larisa Jonke ; Department of Theoretical Physics, Rudjer Bošković Institute, P.O. Box 1016, 41001 Zagreb, Croatia

Abstract

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 λ. 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/ρ for any intermediate statistics.

Keywords

Hrčak ID:

303460

URI

https://hrcak.srce.hr/303460

Publication date:

2.5.1995.

Article data in other languages: croatian

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