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7 papers
Thermophysical Properties of Materials
The shock forced oscillator model: A harmonic approximation
D. L. Tsyganov Instituto de Plasmas de Fusao Nuclear, Laboratorio Associado, Instituto Superior Tecnico, Av. Rovisco Pais, 1049–001, Lisboa, Portugal
Abstract:
A new model is proposed for calculating the probability
$W_{i\to f}$ 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
$W_{i\to f}$ 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
$W_{i\to f}$ for the transition from stationary state i into some new state f are equal. In the harmonic approximation corresponding to the model SFHO, probabilities
$W_{i\to f}$ 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
$W_{i\to f}$ calculated using the Morse potential, the classical Lennard–Jones potential, and the “improved” Lennard–Jones potential (with the
$\varepsilon$ parameter corresponding to the FHO model) in the system
$\mathrm{N}_2$–
$\mathrm{N}_2$. We propose to use this model at temperatures above 5000 K.
UDC:
544.42, 544.08
Received: 21.10.2012
DOI:
10.7868/S0040364413060203
Fulltext:
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