Abstract
We study the Casimir effect for two parallel slabs immersed in a harmonically trapped Fermi gas. The Casimir force and its distribution on the slabs are calculated. It is found that the Casimir force oscillates with the separation L z of the slabs and can be either attractive or repulsive, depending sensitively on the size of L z . It is also found that the size and sign of the Casimir pressure (i.e., the Casimir force on the unit area) oscillates with the variation of the distance r away from the center of the harmonic potential and its amplitude decreases with the increase of r.
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