Separable structure of many-body ground-state wavefunction

We have investigated a general structure of the ground-state wavefunction f or the Schrodinger equation for N identical interacting particles (bosons o r fermions) confined in a harmonic anisotropic trap in the limit of large N . It is shown that the ground-state wavefunction can be written in a separa ble form. As an example of its applications, this form is used to obtain th e ground-state wavefunction describing collective dynamics for N trapped bo sons interacting via contact forces.