Exact many-body solutions for one dimensional ultracold trapped gases

Ewan M. Wright and M. D. Girardeau

Optical Sciences Center, University of Arizona,
Tucson, AZ 85721

Advances in trapping and cooling of atoms to
nano-Kelvin temperatures and below and the achievment
of Bose-Einstein condensation in weakly interacting
trapped gases have revived interest in exact solutions
for many-body problems. Here I will overview our work
on exact solutions for one-dimensional trapped gases and
the Fermi-Bose mapping that exists for hard core