Excited stationary states of trapped Bose-Einstein condensates

2000/07/13 by John A. Vaccaro, Vaccaro, John A., Ole Steuernagel +3
Physics and Astronomy · #Condensed Matter (cond-mat) #FOS: Physical sciences #cond-mat

paper · pdf · doi:10.48550/arxiv.cond-mat/0007233

4 pages, 4 ps-figures

arxiv created 2000/07/13 · arxiv updated 2009/11/30

Abstract

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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