Collective excitations in Bose-Einstein condensates in triaxially anisotropic parabolic traps
arXiv:cond-mat/9809002 · doi:10.1103/PhysRevA.59.1477
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.
14 pages LaTeX, submitted to Phys. Rev. A