@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 = {
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 c denoting the interaction strength, we find that, for a large number of particles N, the 1/c correction to the ground-state energy increases as N^5/2, in contrast to the unperturbed Tonks-Girardeau value that is proportional to N^2. 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.
}, doi = {10.1103/PhysRevA.82.065603}, author = {Francis N. C. Paraan and Vladimir E Korepin} }