Collective excitations in Bose-Einstein condensates in triaxially anisotropic parabolic traps

Authors
Csordas, A Graham, R
Citation
A. Csordas et R. Graham, Collective excitations in Bose-Einstein condensates in triaxially anisotropic parabolic traps, PHYS REV A, 59(2), 1999, pp. 1477-1487
Citations number
23
Categorie Soggetti
Physics
Journal title
PHYSICAL REVIEW A
ISSN journal
10502947 → ACNP
Volume
59
Issue
2
Year of publication
1999
Pages
1477 - 1487
Database
ISI
SICI code
1050-2947(199902)59:2<1477:CEIBCI>2.0.ZU;2-U
Abstract
The wave equation of low-frequency density waves in Bose-Einstein condensat es at vanishing temperature in arbitrarily anisotropic harmonic traps is se parable 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 eigenfrequencie s, which are characterized by three-integer quantum numbers. [S1050-2947(99 )01602-9].