Non-Equilibrium Dynamic Level

The electronic states associated to the cyclic and oscillatory reactions, reactions with instabilities, etc. are obeying for the discrete state dynamics to the quantum general evolution equation (QME quantum master equation) (see Gray Scott, 1990 van Kampen, 1987 Gardiner, 1994 Risken, 1984 Haken, 1978, 1987, 1988)  

FIGURE 5.2 The localization domains for Li (left) and Sc (right) crystals based on the electronic localization function (ELF) (5.233) afer SUvi Gatti (2000). 

This is the probability density level of the describing of the dynamic nonequilibrium of the electronic states associated to some atomic and molecular species involved in the reactive chain (cycles, oscillations). 

Quantum Nanochemistry—Volume II Quantum Atoms and Periodicity 

The next level of describing roots form the introduction of the Markovian processes which will be defined next. For instance, in the dynamic reactive chain 

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