Thomas-Fermi approach on the particle density of a Tonks-Girardeau gas in harmonic confinement with multiple δ-perturbations


We investigate the Thomas-Fermi approach on the single particle density of a strongly interacting one dimensional bose gas under harmonic confinement with multiple localized δ barriers. We compare the resulting approximate of the density profile to exact density profiles that can be calculated for finite number of bosons. From the ground state energy, the corresponding chemical potential at T=0 is used to find the radius or extent of the density cloud.