One-dimensional algebraic models

One-Dimensional Algebraic Models for Polyatomic Molecules A. Introduction... 

In the one-dimensional algebraic model, the study of molecular vibrations requires proper treatment of bending modes as well. As alluded to earlier, the one-dimensional Hamiltonian operator is equally well suited for the description of both stretches and bends, by virtue of... 

This means that the point symmetry of H changes from to D2h ( L and H stand for low- and high -symmetry site, respectively, as should now be evident). The first step in the construction of the benzene dimer is to modify force constants of the two sites according to Eqs. (5.1) and (5.2). A similar study can be easily and systematically implemented within the one-dimensional algebraic model by taking the Hamiltonian operator for CH stretching modes of the benzene molecule (Section III.C.2),... 

As a final example of application of the intensive boson operator technique to the one-dimensional algebraic model, we consider the case of the n m Fermi operator introduced in Section III.E [Eq. (3.128)]. A straightforward use of the aforementioned method leads to the classical potential surface... 

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