Collective excitations in Bose-Einstein condensates in triaxially anisotropic parabolic traps
Condensed Matter
2009-10-31 v1
Abstract
The wave equation of low-frequency density waves in Bose-Einstein condensates at vanishing temperature in arbitrarily anisotropic harmonic traps is separable in elliptic coordinates, provided the condensate can be treated in the Thomas-Fermi approximation. We present a complete solution of the mode functions, which are polynomials of finite order, and their eigenfrequencies which are characterized by three integer quantum numbers.
Keywords
Cite
@article{arxiv.cond-mat/9809002,
title = {Collective excitations in Bose-Einstein condensates in triaxially anisotropic parabolic traps},
author = {András Csordás and Robert Graham},
journal= {arXiv preprint arXiv:cond-mat/9809002},
year = {2009}
}
Comments
14 pages LaTeX, submitted to Phys. Rev. A