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

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 $N\to \mathrm{\infty }$.