Abstract
The temperature dependence of the frequencies of a Bose-Einsteincondensate obtained in experiment has not been fully understoodtheoretically. In this paper we present a simplified version of a two-gasmodel. The ground state of the system found numerically is used for smalloscillation analysis. In the case of spherical symmetry a full spectrum offrequencies is found for low orbital quantum numbers. Avoided crossingsthat appear in the spectrum might be the reason for experimentallyobserved frequency shifts.
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