Collective Behavior of the Closed-Shell Fermi Gas

Details Collective Behavior of the Closed-Shell Fermi Gas Collective Behavior of the Closed-Shell Fermi Gas

2005-10-17

arxiv.org/abs/cond-mat/0510454v1

Physics

Condensed Matter

Other Condensed Matter

4 RevTeX pages, 3 figures, submitted to PRL

Scientific paper

We propose an unconventional description for the ground state and collective oscillations of the two-component normal Fermi gas with two-body zero-range interactions. The many-body problem can be accurately reduced to a linear, one-dimensional Schroedinger equation in a single collective coordinate, the hyperradius R of the N-atom system which is the root mean square radius. The calculated properties of the Fermi gas ground state are shown to agree accurately with results from the Hartree-Fock (HF) approximation over a wide range of interspecies scattering lengths. The breathing mode excitation frequency deviates qualitatively from HF predictions, but we show that this reflects a failure of the HF approach for this observable.

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