## Abstract

We investigate the structure and collective modes of a planar surface of a trapped Bose-Einstein condensed gas at zero temperature. In the long-wavelength limit we find a mode similar to the gravity wave on the surface of a fluid with the frequency [Formula Presented] and the wave number q related by [Formula Presented] Here F is the force due to the confining potential at the surface and m is the particle mass. At shorter wavelengths we use a variational approach and find corrections to [Formula Presented] of order [Formula Presented] We demonstrate the usefulness of the concept of an effective surface tension for describing both static and dynamic properties of condensed atomic clouds.

Original language | English |
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Pages (from-to) | 1507-1512 |

Number of pages | 6 |

Journal | Physical Review A - Atomic, Molecular, and Optical Physics |

Volume | 60 |

Issue number | 2 |

DOIs | |

Publication status | Published - 1999 |

Externally published | Yes |

## ASJC Scopus subject areas

- Atomic and Molecular Physics, and Optics