On the use of ladder operators in simultaneous V V and V T transitions at high collision energies

Abstract

We show the use of exponential forms of ladder operators in solving the time dependent wave equation for simultaneous vibration–vibration and vibration–translation transitions in diatomic molecules. A general form for such transitions involving one-quantum processes is obtained and applied to D2+D2. The VT steps strongly couple with VV processes at collision energies several times h/ω to reduce the overall VV energy exchange probability substantially.