+44-1518-081136Quantum-classical Mechanics: Principles, applications and prospects
Virtual Meet on 2nd International Conference on Quantum Physics
September 02, 2021 | Webinar
Vladimir V Egorov
Russian Academy of Science, Russia
Scientific Tracks Abstracts : Mater Sci Nanotechnol
Abstract:
In quantum mechanics, the theory of quantum transitions is grounded on the convergence of a series of timedependent perturbation theory. In nuclear and atomic physics, this series converges because the dynamics of quantum transitions are absent. In molecular and chemical physics, the dynamics of “quantum” transitions, being determined by the joint motion of a light electron (or electrons) and very heavy nuclei, are presentand this series becomes singular. An exception is the dynamic problem for stationary states in the Born-Oppenheimer adiabatic approximation, when the electronic subsystem turns out to be “off” from the general dynamic process and therefore is not dynamically full-fledged: it only forms an electric potential in which the nuclei oscillate. Removing the singularity can be accomplished in two ways. The first method was consisted of introducing an additional postulate in the form of the Franck-Condon principle into molecular quantum mechanics, in which the adiabatic approximation is used. The second method was proposed by the author and consisted of damping the singular dynamics of the joint motion of an electron and nuclei in the transient state of molecular “quantum” transitions by introducing chaos. This chaos arises only during molecular quantum transitions and is called dozy chaos. Dozy chaos leads to the continuity of the energy spectrum in the molecular transient state, which is a sign of classical mechanics. Meanwhile, the initial and final states of the molecule obey quantum mechanics in the adiabatic approximation. Molecular quantum mechanics, which considers the chaotic dynamics of the transient state of molecular “quantum” transitions, can be called quantumclassical mechanics (QCM). The efficacy of the damping for the singularity is shown by different QCM applications by applications of the so-called Egorov resonance to optical spectra in polymethine dyes and J-aggregates both for single-photon and two-photon processes, which, in particular, are rationalizing experimental studies in the field of bioimaging and photodynamic therapy. Prospects for further developments in QCM and their applications to problems of cancer and viral infections are discussed.
Biography:
Vladimir Valentinovich Egorov has his expertise in theoretical molecular and chemical physics. education: national research nuclear university me phi, faculty of theoretical and experimental physics (1966 – 1972), Moscow, USSR. he has completed his PhD from theoretical department of institute of chemical physics, USSR academy of sciences (1981) and he has completed his Dr Phys & math sci degree from institute of physical chemistry, Russian academy of sciences (2004).
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