Collective excitations of degenerate Fermi gases in anisotropic parabolic traps

The hydrodynamic low-frequency oscillations of highly degenerate Fermi gases trapped in anisotropic harmonic potentials are investigated. Despite the lack of an obvious spatial symmetry the wave-equation turns out to be separable in elliptical coordinates, similar to a corresponding result establish...

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Bibliographic Details
Published inarXiv.org
Main Authors Csordás, András, Graham, Robert
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 04.07.2000
Subjects
Anisotropy
Exact solutions
Fermi gases
Wave equations
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Summary:The hydrodynamic low-frequency oscillations of highly degenerate Fermi gases trapped in anisotropic harmonic potentials are investigated. 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 the analytical solution of the anisotropic wave equation for the hydrodynamic modes.
ISSN:2331-8422
DOI:10.48550/arxiv.0007049