  We consider the ground state of a trapped Bose-Einstein condensate in two
dimensions. In the mean-field approximation, the ground state density profile
satisfies the Gross-Pitaevskii equation. We compute the leading quantum
corrections to the density profile to second order in an expansion around the
Thomas-Fermi limit. By summing the ladder diagrams, we are generalizing
Schick's result for the ground state energy of a homogeneouns Bose gas to the
case of a trapped Bose gas.
