  In this paper, the second in a series of two, we complete the derivation of
the lowest-order wave function of a dimensional perturbation theory (DPT)
treatment for the N-body quantum-confined system. Taking advantage of the
symmetry of the zeroth-order configuration, we use group theoretic techniques
and the FG matrix method from quantum chemistry to obtain analytic results for
frequencies and normal modes. This method directly accounts for each two-body
interaction, rather than an average interaction so that even lowest-order
results include beyond-mean-field effects. It is thus appropriate for the study
of both weakly and strongly interacting systems and the transition between
them. While previous work has focused on energies, lowest-order wave functions
yield important information such as the nature of excitations and expectation
values of physical observables at low orders including density profiles. Higher
orders in DPT also require as input the zeroth-order wave functions. In the
earlier paper we presented a program for calculating the analytic normal-mode
coordinates of the large-D system and illustrated the procedure by deriving the
two simplest normal modes. In this paper we complete this analysis by deriving
the remaining, and more complex, normal coordinates of the system.
