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Article

Thermophysical Properties of Materials
2014. V. 52. № 1. P. 48–56
Tsyganov D.L.
The shock forced oscillator model: A harmonic approximation
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A new model is proposed for calculating the probability Wif 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 Wif 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 Wif for the transition from stationary state i into some new state f are equal. In the harmonic approximation corresponding to the model SFHO, probabilities Wif 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 Wif calculated using the Morse potential, the classical Lennard–Jones potential, and the “improved” Lennard–Jones potential (with the ε parameter corresponding to the FHO model) in the system N2N2. We propose to use this model at temperatures above 5000 K.
Article reference:
Tsyganov D.L. The shock forced oscillator model: A harmonic approximation, High Temp., 2014. V. 52. № 1. P. 48