The European Physical Journal B

, Volume 68, Issue 3, pp 329–333 | Cite as

Collective excitations of harmonically trapped ideal gases

  • B. Van Schaeybroeck
  • A. LazaridesEmail author


We theoretically study the collective excitations of an ideal gas confined in an isotropic harmonic trap. We give an exact solution to the Boltzmann-Vlasov equation; as expected for a single-component system, the associated mode frequencies are integer multiples of the trapping frequency. We show that the expressions found by the scaling ansatz method are a special case of our solution. Our findings are most useful in case the trap contains more than one phase: we demonstrate how to obtain the oscillation frequencies in case an interface is present between the ideal gas and a different phase.


03.75.Ss Degenerate Fermi gases 03.75.Kk Dynamic properties of condensates; collective and hydrodynamic excitations, superfluid flow 67.85.-d Ultracold gases, trapped gases 


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© EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2008

Authors and Affiliations

  1. 1.Instituut voor Theoretische Fysica, Katholieke Universiteit LeuvenLeuvenBelgium

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