Quantum–Classical Mechanics: Nano-Resonance in Polymethine Dyes

It is well known in quantum mechanics that the theory of transitions based on convergence series time-dependent perturbation theory. This converges atomic and nuclear physics. However, molecular chemical physics, this only Born–Oppenheimer adiabatic approximation due to application Franck–Condon principle, it diverges as a result going beyond principle. divergence (singularity) associated with incommensurability masses light electrons heavy nuclei which jointly participate full-fledged movement transient state “quantum” transitions. In new physical theory—quantum–classical (Egorov, V.V. Heliyon Physics 2019, 5, e02579)—this singularity damped by introducing chaos into state. introduced replacing infinitely small imaginary additive energy denominator spectral representation total Green’s function system finite value called dozy chaos. article, resonance at nanoscale (nano-resonance) between electron reorganization motions quantum–classical (dozy-chaos) elementary transfers condensed media their applications polymethine dyes J-aggregates solutions are reviewed. Nano-resonance explains resonant character transformation shape optical absorption band length chain changes, nature red-shifted (J-band), narrow intense. The process dye aggregation an aqueous solution increase its concentration formation considered structural tuning “polymethine + environment” absorption. For Langmuir films, asymmetry luminescence bands, Stokes shifts, explained. parasitic during transition from one-photon two-photon also explained, conditions for restoration nano-resonance predicted.