The shock forced oscillator model: A harmonic approximation

A new model is proposed for calculating the probability W (i -> f) of transition of a quantum system in the field of external force F from stationary state i to stationary state f-the shock forced oscillator model (SFO). The SFO model is based on the quantum theory of strong perturbations and allows one to estimate probabilities W (i -> f) for the transitions from level i to level f in the quantum system diatomic molecule AB-structureless particle M. It is shown that within the harmonic approximation to the SFO model (SFHO) and the model of a forced harmonic oscillator (FHO), probabilities W (i -> f) for the transition from stationary state i into some new state f are equal. In the harmonic approximation corresponding to the model SFHO, probabilities W (i -> f) for the transitions from level i to level f depend on the squared force parameter characterizing the force action of a structureless particle M on the diatomic molecule AB. In addition, we compare transition probabilities W (i -> f) calculated using the Morse potential, the classical Lennard-Jones potential, and the improved Lennard-Jones potential (with the E > parameter corresponding to the FHO model) in the system N-2-N-2. We propose to use this model at temperatures above 5000 K.