Excited stationary states of trapped Bose-Einstein condensates

Physics – Condensed Matter

Scientific paper

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4 pages, 4 ps-figures

Scientific paper

We investigate the excited stationary states of Bose-Einstein condensates
trapped in harmonic potentials. We derive simple analytical approximations of
the first few eigenstates of the associated time-independent one-dimensional
Gross-Pitaevskii equation and their energies. Our results are excited state
generalizations of the Thomas-Fermi approximation of the ground state.

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