**10. Symmetry between Optical Absorption and Luminescence in the Standard Theory and Its Violation in Dozy-Chaos Mechanics as a Consequence of the Dynamic Organization of Quantum-Classical Transitions**

#### *10.1. Luminescence and Absorption Spectra. Their Mirror Symmetry*

According to the standard theory of many-phonon processes [29], which ignores the dynamics of the transient state, the transition from absorption spectra to luminescence spectra is carried out by changing the sign before the heat energy ω12. Then, the luminescence and absorption spectra appear to be mirror-symmetric with respect to the "pure electronic" transition line -Ω = *J*<sup>1</sup> − *J*2. If we apply this standard rule to the shapes of optical absorption bands obtained according to quantum-classical mechanics from Equations (6)–(26) and shown in Figure 1, then it can be seen that with decreasing chaos (with decreasing the dozy-chaos energy γ), which corresponds to improving the dynamic

self-organization of the "quantum" transition, the luminescence and absorption bands narrow and shift towards each other and towards the "pure electronic" transition line (see Figure 1 in [3]). In other words, with the improvement of the dynamic self-organization of quantum-classical transitions, the corresponding luminescence and absorption bands are narrowed and their Stokes shift is reduced. A detailed discussion of the physics related to the nature of the change in the position and shape of the optical bands with decreasing quantity of γ can be found in [4,9].
