  A general expression is obtained for the matrix element of an m-body operator
between coherent states constructed from multiple orthogonal coherent boson
species. This allows the coherent state formalism to be applied to states
possessing an arbitrarily large number of intrinsic excitation quanta. For
illustration, the formalism is applied to the two-dimensional vibron model
[U(3) model], to calculate the energies of all excited states in the large-N
limit.
