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Vibrational transitions in the non-linearly driven oscillator: role of a time-varying frequency

✍ Scribed by H.K. Shin


Publisher
Elsevier Science
Year
1986
Tongue
English
Weight
627 KB
Volume
123
Category
Article
ISSN
0009-2614

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✦ Synopsis


An operator-algebraic

approach is used to study the role of time-varying frequency in vibrational transitions in molecular collisions. The time-evolution operator is constructed in terms of the number, one-quantum, and direct two-quantum operators. The evolution of vibrational states in a homonuclear diatomic molecule forced by an incident particle of the same mass is presented. The effect of the time-dependent frequency on 0 + 1, 0 + 2, and 0 + 3 is found to be important over a wide range of collision energies. Two-quantum processes interfere destructively with one-quantum processes at lower energies but constructively at higher energies.