“…In recent years, there have been numerous theoretical investigations of the density profiles of trapped polarized fermion gases (see, e.g., Refs. [59,132,133,134,135,136,137,70,66,138,139,140,141,142,143]); here we shall focus on the predictions of the simplest method for handling the trapping potential, namely the local density approximation (LDA). Much like the WKB approximation, the LDA corresponds to using expressions for the bulk system, but with an effective local chemical potential µ(r) = µ − V T (r) in place of µ.…”