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Phys. Rev. A 63, 013606 (2000) [8 pages]

Collective excitations of degenerate Fermi gases in anisotropic parabolic traps

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András Csordás
Research Group for Statistical Physics of the Hungarian Academy of Sciences, 1117 Pázmány Péter Sétány 1/A, Budapest, Hungary

Robert Graham
Fachbereich Physik, Universität-GH, 45117 Essen, Germany

Received 23 June 2000; published 12 December 2000

We investigate the hydrodynamic low-frequency oscillations of highly degenerate Fermi gases trapped in anisotropic harmonic potentials. Despite the lack of an obvious spatial symmetry the wave equation turns out to be separable in elliptical coordinates, similar to a corresponding result established earlier for Bose condensates. This result is used to give an analytical solution of the anisotropic wave equation for the hydrodynamic modes.

© 2000 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.63.013606
DOI:
10.1103/PhysRevA.63.013606
PACS:
03.75.Fi, 05.30.Fk, 67.40.Db