  We generalize Babelon's approach to equations in dual variables so as to be
able to treat new types of operators which we build out of the sub-constituents
of the model's monodromy matrix. Further, we also apply Sklyanin's recent
monodromy matrix identities so as to obtain equations in dual variables for yet
other operators. The schemes discussed in this paper appear to be universal and
thus, in principle, applicable to many models solvable through the quantum
separation of variables.
