@article {Paraan2010,
	title = {Perturbative correction to the ground-state properties of one-dimensional strongly interacting bosons in a harmonic trap},
	journal = {Phys. Rev. A},
	volume = {82},
	number = {6},
	year = {2010},
	note = {cited By 2},
	pages = {065603},
	abstract = {<div>We calculate the first-order perturbation correction to the ground-state energy and chemical potential of a harmonically trapped boson gas with contact interactions about the infinite repulsion Tonks-Girardeau limit. With <em>c</em> denoting the interaction strength, we find that, for a large number of particles <em>N</em>, the 1/<em>c</em> correction to the ground-state energy increases as <em>N</em>^<sup>5/2</sup>, in contrast to the unperturbed Tonks-Girardeau value that is proportional to <em>N</em>^<sup>2</sup>. We describe a thermodynamic scaling limit for the trapping frequency that yields an extensive ground-state energy and reproduces the zero temperature thermodynamics obtained by a local-density approximation.</div>},
	doi = {10.1103/PhysRevA.82.065603},
	author = {Francis N. C. Paraan and Vladimir E Korepin}
}