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arXiv · 0911.5313

Distribution of eigenfrequencies for oscillations of the ground state in the Thomas--Fermi limit

P. G. Kevrekidis·D. E. Pelinovsky
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Abstract

In this work, we present a systematic derivation of the distribution of eigenfrequencies for oscillations of the ground state of a repulsive Bose-Einstein condensate in the semi-classical (Thomas-Fermi) limit. Our calculations are performed in 1-, 2- and 3-dimensional settings. Connections with the earlier work of Stringari, with numerical computations, and with theoretical expectations for invariant frequencies based on symmetry principles are also given.

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P. G. Kevrekidis, D. E. Pelinovsky. 2009-11-27. Distribution of eigenfrequencies for oscillations of the ground state in the Thomas--Fermi limit. https://doi.org/10.1103/physreva.81.023627

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