Semiclassical vibrational wave functions for electronically excited DCN: A highly quantum mechanical system

摘要

A semiclassical spectral quantization (SQ) technique quite similar to that developed by De Leon and Heller is applied to a rigorous test casemdash;the highly quantum mechanical vibrational motion of DCN on the excitedCthinsp;1Arsquo;potential energy surface. By using essentially arbitrary classical trajectories, SQ energies and wave functions are obtained for the 12 bound vibrational states of this system. These results turn out to be in remarkably good agreement with those also obtained in this lab from a totally quantal treatment of the same 12 vibrational states. Observations are made concerning the limitations of the SQ method and its performance when state degeneracies are present.