P.G. Kevrekidis and D.E. Pelinovsky
Distribution of eigenfrequencies for oscillations of the ground state in the
Thomas-Fermi limit
Physical Review A 81, 023627 (5 pages) (2010)
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.
Keywords:
Gross-Pitaevskii equation, ground states, stability and eigenfrequencies,
semi-classical limit, Thomas-Fermi approximation