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

Authors

Jayson G. Cosme National Institute of Physics, University of the Philippines Diliman
Francis N. C. Paraan National Institute of Physics, University of the Philippines Diliman
Jose Perico Henson Esguerra National Institute of Physics, University of the Philippines Diliman

Abstract

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 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.

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Issue

2013: Proceedings of the 31st Samahang Pisika ng Pilipinas Physics Congress

Article ID

SPP2013-3B-2

Section

Theoretical Physics

Published

2013-10-23

How to Cite

[1]

JG Cosme, FNC Paraan, and JPH Esguerra, Thomas-Fermi approach on the particle density of a Tonks-Girardeau gas in harmonic confinement with multiple δ-perturbations, Proceedings of the Samahang Pisika ng Pilipinas 31, SPP2013-3B-2 (2013). URL: https://proceedings.spp-online.org/article/view/SPP2013-3B-2.