Volume 8, Issue 4, July 2020, Page: 93-103
Quantum-Classical Electron as an Organizing Principle in Nature
Vladimir Valentinovich Egorov, Russian Academy of Sciences, FSRC “Crystallography and Photonics”, Photochemistry Center, Moscow, Russian Federation
Received: Jun. 27, 2020;       Accepted: Jul. 21, 2020;       Published: Aug. 17, 2020
DOI: 10.11648/j.ijsts.20200804.12      View  284      Downloads  143
We are introducing briefly to the new theory of “quantum” transitions in molecular and chemical physics — quantum-classical mechanics, in which an electron behaves dynamically in two ways: both as a quantum and as a classical elementary particle. Namely, in the initial and final adiabatic states of molecular “quantum” transitions, the light electron exhibits its quantum properties. On the contrary, in the transient molecular state, the electron, provoking the so-called dozy chaos in the vibrational motion of very heavy nuclei “in order” to shift the equilibrium positions of their vibrations to new positions corresponding to the new distribution of the electron charge, because of the continuous energy spectrum in the transient state, manifests itself as a classical elementary particle. The article discusses mainly studied and some promising applications of the organizing role of an electron in nature. Among the well-studied applications, the quantum-classical organization of optical absorption band shapes in polymethine dyes and their J-aggregates is discussed. For example, the well-known narrow and intense J-band of J-aggregates is one of the striking examples of the implementation of the so-called Egorov resonance, in which the motion of the reorganization of the nuclei of the environmental medium significantly contributes to the electron transition in the optical pi-electron chromophore of J-aggregates. This effect can also be interpreted as the transfer of dozy chaos from the peak of the J-band into its wing by a chaotic motion of the quantum-classical pi-electron state of the J-chromophore. The dynamic role of the quantum-classical electron in the joint organization of the absorption and luminescence spectra, and an extension of quantum-classical mechanics to nonlinear optical processes are discussed. The probable leading role of quantum-classical electrons in the evolution of molecular matter and possibility of applications of quantum-classical mechanics to the study of cancer and viruses are discussed as a future research perspective.
Molecular Quantum Transitions, Dozy Chaos, Quantum-Classical Mechanics, Optical Spectra, Polymethine Dyes, Bioimaging, Cancer, Virus
To cite this article
Vladimir Valentinovich Egorov, Quantum-Classical Electron as an Organizing Principle in Nature, International Journal of Science, Technology and Society. Vol. 8, No. 4, 2020, pp. 93-103. doi: 10.11648/j.ijsts.20200804.12
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V. V. Egorov, “Quantum-classical mechanics as an alternative to quantum mechanics in molecular and chemical physics,” Heliyon Physics 5, e02579-1– e02579-27 (2019).
M. Born and J. R. Oppenheimer, “Quantum theory of the molecules,” Ann. Phys. (Leipzig) 84, 457–484 (1927).
J. Franck and E. G. Dymond, “Elementary processes of photochemical reactions,” Trans. Faraday Soc. 21, 536–542 (1925).
E. U. Condon, “A theory of intensity distribution in band systems,” Phys. Rev. 28, 1182–1201 (1926).
E. U. Condon, “Nuclear motions associated with electron transitions in diatomic molecules,” Phys. Rev. 32, 858–872 (1928).
E. U. Condon, “The Franck-Condon principle and related topics,” Am. J. Phys. 15, 365–374 (1947).
H. Mustroph, “Potential-energy surfaces, the Born–Oppenheimer approximations, and the Franck–Condon principle: Back to the roots,” ChemPhysChem 17, 2616–2629 (2016).
V. V. Egorov, “Optical lineshapes for dimers of polymethine dyes: Dozy-chaos theory of quantum transitions and Frenkel exciton effect,” RSC Adv. 3, 4598–4609 (2013).
V. V. Egorov, “Nature of the optical band shapes in polymethine dyes and H-aggregates: Dozy chaos and excitons. Comparison with dimers, H*- and J-aggregates,” Royal Soc. Open Sci. 4, 160550-1–160550-20 (2017).
V. V. Egorov, “Electron-transfer approach to the nature of the optical lineshape for molecular J-aggregates,” Chem. Phys. Lett. 336, 284–291 (2001).
V. V. Egorov, “On electrodynamics of extended multiphonon transitions and nature of the J-band,” Chem. Phys. 269, 251–283 (2001).
M. Planck, “On the law of distribution of energy in the normal spectrum,” Ann. Phys. (Leipzig) 309, 553–563 (1901).
V. V. Egorov and M. V. Alfimov, “Theory of the J-band: From the Frenkel exciton to charge transfer,” Phys. Usp. 50, 985–1029 (2007).
V. V. Egorov, “Theory of the J-band: From the Frenkel exciton to charge transfer,” Phys. Proc. 2, 223–326 (2009) [Proc. 15th Int. Conf. Lumin. Opt. Spectr. Cond. Matter – ICL ’2008, Lyon, France, 7–11 July 2008].
V. V. Egorov, “Discovery of dozy chaos and discovery of quanta: Analogy being in science and perhaps in human progress,” in Chaos and Complex Systems: Proc. 4th Int. Interdisciplinary Chaos Symp., edited by S. G. Stavrinides, S. Banerjee, H. Caglar, and M. Ozer (Springer, Berlin, 2013), pp. 41–46.
V. V. Egorov, “Dozy chaos in chemistry: Simplicity in complexity,” in Chaos and Complex Systems: Proc. 4th Int. Interdisciplinary Chaos Symp., edited by S. G. Stavrinides, S. Banerjee, H. Caglar, and M. Ozer (Springer, Berlin, 2013), pp. 219–224.
P. A. M. Dirac, “The quantum theory of the emission and absorption of radiation,” Proc. Royal Soc. London A 114, 243–265 (1927).
E. Fermi, “Quantum theory of radiation,” Rev. Mod. Phys. 4, 87–132 (1932).
V. B. Berestetskii, E. M. Lifshitz, and L. P. Pitaevskii, Quantum Electrodynamics (2nd ed.) (Elsevier, Amsterdam, 1982).
A. S. Davydov, Quantum Mechanics (Pergamon Press, Oxford, UK, 1976).
L. D. Landau and E. M. Lifshitz, Quantum Mechanics, Non-Relativistic Theory (3rd ed.) (Elsevier, Amsterdam, 1977).
A. Petrenko and M. Stein, “Molecular reorganization energy as a key determinant of J-band formation in J-aggregates of polymethine dyes,” J. Phys. Chem. A 119, 6773–6780 (2015).
A. Petrenko and M. Stein, “Toward a molecular reorganization energy-based analysis of third-order nonlinear optical properties of polymethine dyes and J-aggregates,” J. Phys. Chem. A 123, 9321−9327 (2019).
V. V. Egorov, “Nature of the optical transition in polymethine dyes and J-aggregates,” J. Chem. Phys. 116, 3090–3103 (2002).
V. V. Egorov, “Dynamic pumping of elementary charge transfer by environmental dissipative reorganization,” Russ. J. Electrochem. 39, 86–96 (2003).
V. V. Egorov, “Quantum-classical mechanics: Luminescence spectra in polymethine dyes and J-aggregates. Nature of the small Stokes shift,” Res. Phys. 13, 102252-1–102252-14 (2019).
L. G. S. Brooker, R. H. Sprague, C. P. Smith, and G. L. Lewis, “Color and constitution. I. Halochromism of anhydronium bases related to the cyanine dyes,” J. Am. Chem. Soc. 62, 1116–1125 (1940).
T. H. James (Ed.), The Theory of the Photographic Process (Macmillan, New York, NY, 1977).
V. V. Egorov, “Data from: Dryad digital repository,” Royal Soc. Open Sci. 4, 160550-1–160550-20 (2017).
O. D. Kachkovski, O. I. Tolmachov, Yu. L. Slominskii, M. O. Kudinova, N. O. Derevyanko, and O. O. Zhukova, “Electronic properties of polymethine systems 7: Soliton symmetry breaking and spectral features of dyes with a long polymethine chain,” Dyes and Pigments 64, 207–216 (2005).
E. E. Jelley, “Spectral absorption and fluorescence of dyes in the molecular state,” Nature (London) 138, 1009–1010 (1936).
E. E. Jelley, “Molecular, nematic and crystal states of 1:1’-diethyl-ψ-cyanine chloride,” Nature (London) 139, 631–632 (1937).
G. Scheibe, “Über die Veränderlichkeit des Absorptionsspektrums einiger Sensibilisierungsfarbstaffe und deren Ursache (Variability of the Absorption Spectra of some Sensitizing Dyes and its Cause),” Angew. Chem. 49, 563 (1936).
G. Scheibe, “Ueber die Veraenderlichkeit der Absorptionsspektren in Loesungen und die Nebenvalenzen als ihre Ursache (On the variability of the absorption spectra in solutions and the secondary bonds as its cause),” Angew. Chem. 50, 212–219 (1937).
V. V. Egorov, “Optical line shapes for polymethine dyes and their aggregates: Novel theory of quantum transitions and its correlation with experiment,” J. Lumin. 131, 543–547 (2011). [Proc. 17th Int. Conf. on Dynamical Processes in Excited States of Solids (DPC’10), Argonne Nat. Lab., Argonne, Illinois, USA, 20–25 June 2010].
V. V. Egorov, “Dozy-chaos nature of molecular quantum transitions and theory of the optical band shapes in polymethine dyes,” 2nd Int. Conf. on Atomic and Nuclear Physics, Las Vegas, USA, 08–09 November 2017, Abstracts at https://www.omicsonline.org/proceedings/dozychaos-nature-of-molecular-quantum-transitions-and-theory-of-the-optical-band-shapes-in-polymethine-dyes-79484.html.
J. Frenkel, “On the transformation of light into heat in solids. I,” Phys. Rev. 37, 17–44 (1931).
J. Frenkel, “On the transformation of light into heat in solids. II,” Phys. Rev. 37, 1276–1294 (1931).
A. S. Davydov, Theory of Molecular Excitons (McGraw-Hill, New York, NY, 1962).
V. V. Egorov, “Nature of the narrow optical band in H*-aggregates: Dozy-chaos–exciton coupling,” AIP Adv. 4, 077111-1–077111-9 (2014).
Yu. E. Perlin, “Modern methods in the theory of many-phonon processes,” Phys. Usp. 6, 542–565 (1964).
J. M. Hales, J. Matichak, S. Barlow, S. Ohiro, K. Yesudas, J.-L. Bredas, J. W. Perry, and S. R. Marder, “Design of polymethine dyes with large third-order optical nonlinearities and loss Figures of merit,” Science 327, 1485−1488 (2010).
H. Aviv and Ya. R. Tischler, “Synthesis and characterization of a J-aggregating TDBC derivative in solution and in Langmuir-Blodgett films,” J. Lumin. 158, 376–383 (2015).
X. Peng, T. Wu, J. Fan, J. Wang, S. Zhang, F. Song, and S. Sun, “An effective minor groove binder as a red fluorescent marker for live cell DNA imaging and quantification,” Angew. Chem., Int. Ed. 50, 4180−4183 (2011).
N. S. James, Y. Chen, P. Joshi, T. Y. Ohulchanskyy, M. Ethirajan, M. Henary, L. Strekovsk, and R. K. Pandey, “Evaluation of polymethine dyes as potential probes for near infrared fluorescence imaging of tumors: Part − 1,” Theranostics 3, 692−702 (2013).
C. Schwechheimer, F. Römcke, U. Schepers, and H.-A. Wagenknecht, “A new structure − activity relationship for cyanine dyes to improve photostability and fluorescence properties for live cell imaging,” Chem. Sci. 9, 6557−6563 (2018).
S. G. Konig and R. Kramer, “Accessing structurally diverse near infrared cyanine dyes for folate receptor targeted cancer cell staining,” Chem. – Eur. J. 23, 9306−9312 (2017).
S. M. Usama, S. Thavornpradit, and K. Burgess, “Optimized heptamethine cyanines for photodynamic therapy,” ACS Appl. Bio Mater. 1 (4), 1195−1205 (2018).
J. Atchison, S. Kamila, H. Nesbitt, K. A. Logan, D. H. Nicholas, F. Colin, J. Davis, B. Callan, A. P. McHale, and J. F. Callan, “Iodinated cyanine dyes: A new class of sensitisers for use in NIR activated photodynamic therapy (PDT),” Chem. Commun. 53, 2009−2012 (2017).
C. M. Bender, “Making sense of non-Hermitian Hamiltonians,” Rep. Prog. Phys. 70, 947–1118 (2007).
N. Moiseyev, Non-Hermitian Quantum Mechanics (Cambridge University Press, Cambridge, UK, 2011).
A. Sergi, “Matrix algebras in non-Hermitian quantum mechanics,” Comm. Theor. Phys. 56, 96–98 (2011).
A. Sergi and K. G. Zloshchastiev, “Non-Hermitian quantum dynamics of a two-level system and models of dissipative environments,” Int. J. Mod. Phys. B 27, 1350163-1–1350163-12 (2013).
A. Sergi, “Embedding quantum systems with a non conserved probability in classical environments,” Theor. Chem. Acc. 134, 79-1–79-9 (2015).
K. G. Zloshchastiev, “Non-Hermitian Hamiltonians and stability of pure states,” Eur. Phys. J. D 69, 253-1–253-7 (2015).
A. Sergi and P. V. Giaquinta, “Linear quantum entropy and non-Hermitian Hamiltonians,” Entropy 18, 451-1–451-11 (2016).
M. Znojil, “Non-Hermitian interaction representation and its use in relativistic quantum mechanics,” Ann. Phys. (NY) 385, 162–179 (2017).
Y. Gao et al., “Structure of the RNA-dependent RNA polymerase from COVID-19 virus,” Science 10.1126/science.abb7498 (2020).
P. Yang and X. Wang, “COVID-19: A new challenge for human beings,” Cell. Mol. Immunol. 17, 555–557 (2020). https://doi.org/10.1038/s41423-020-0407-x
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