  We study an atomic Fermi gas interacting through repulsive contact forces in
a one dimensional harmonic trap. Bethe-Ansatz solutions lead to an
inhomogeneous Tomonaga-Luttinger model for the low energy excitations. The
equations of motion for charge and spin density waves are analyzed both near
the trap center and near the trap edges. While the center shows conventional
spin-charge separation the edges cause a giant increase of the separation
between these modes.
