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

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

2009-11-27

arxiv.org/abs/0911.5313v1

Physics

Condensed Matter

Quantum Gases

8 pages, 1 figure

Scientific paper

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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