Physics – Condensed Matter
Scientific paper
2000-07-13
Physics
Condensed Matter
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.
Lorimer Ben
Steuernagel Ole
Vaccaro John A.
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