Dynamical similarity in the highly excited vibrations of HCP and DCP: The dynamical potential approach

The fixed points in the dynamical potentials of phosphaethyne (HCP) and deuterated phosphaethyne (DCP) derived in the coset space are identified and shown to govern the various quantal environments in which the vibrational states lie. The state dynamics is interpreted and classified by the classical actions and action integrals. This is closely related to the fixed point structure. Localized modes even at high excitation are identified. Most important is that the dynamical similarity between these two systems is identified which enables us to understand the DCP dynamics simply from that of HCP without repeated elaboration.