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

Andr\'as Csord\'as (Research Group for Statistical Physics of the Hungarian Academy of Sciences; Budapest; Germany); Hungary); Robert Graham (Fachbereich Physik; Universit\"at-Gesamthochschule Essen

arxiv: cond-mat/9809002 · v1 · submitted 1998-09-01 · ❄️ cond-mat

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

Andr\'as Csord\'as (Research Group for Statistical Physics of the Hungarian Academy of Sciences , Budapest , Hungary) , Robert Graham (Fachbereich Physik , Universit\"at-Gesamthochschule Essen , Germany) This is my paper

classification ❄️ cond-mat

keywords anisotropicbose-einsteincondensatestrapsapproximationarbitrarilycharacterizedcollective

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

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