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

András Csordás; Robert Graham

doi:10.1103/physreva.59.1477

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

András Csordás·Robert Graham

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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.

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András Csordás, Robert Graham. 1998-09-01. Collective excitations in Bose-Einstein condensates in triaxially anisotropic parabolic traps. https://doi.org/10.1103/physreva.59.1477

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