Abstract:
An N particle system, Bosons or Fermions, in a 1D harmonic trap with repulsive delta function interaction is studied. We use the Thomas-Fermi method for the problem by first treating the local problem in each interval dx. Then we find the best values of the local thermodynamic variables at each x, to reach minimum total energy for the whole system in the trap. The ground state energy of the system is numerically calculated in the limit when the total number of particles N → ∞ for fixed √N/g.
Coffee and tea will be served 20 minutes prior to the seminar.