Projection operator formalism for the characterization of molecular eigenstates: Application to a 3:4 resonant system
The Journal of Chemical Physics
A projection operator formalism is used to quantify the normal/resonant character of eigenstates of a vibrational Hamiltonian with two degrees of freedom. We show how the application of the formalism quantifies the resonant character of these eigenstates, in the form of a probability, and how this probability is related to the width of the resonance in classical phase space. Normal and resonant quantum numbers shared by a given eigenstate are found to be canonically related.
Neshyba, S. P., and N. De Leon. "Projection operator formalism for the characterization of molecular eigenstates: Application to a 3: 4 resonant system." The Journal of chemical physics 91 (1989): 7772.