Spinless Bosons or Spin 1/2 Fermions in a 1D Harmonic Trap with Repulsive Delta Function Interparticle Interaction I - General Theory

Abstract

In these two papers, we solve the N body 1D harmonically trapped spinless Boson or spin 1/2 Fermions with repulsive delta function interaction in the limit $N\to \infty$.

6 pages, 1 figure

References in corpus (2)

• Many-Body Physics with Ultracold Gases
• Exact solution for infinitely strongly interacting Fermi gases in tight waveguides

Cited by in corpus (4)

• Universal local pair correlations of Lieb-Liniger bosons at quantum criticality
• Perturbative correction to the ground state properties of one-dimensional strongly interacting bosons in a harmonic trap
• Gap solitons and Bloch waves of interacting bosons in one-dimensional optical lattices: From the weak to the strong interaction limits
• The explicit expression of the fugacity for weakly interacting Bose and Fermi gases