МЕТОД КАЛІБРУВАЛЬНО-ІНВАРІАНТНОЇ РЕЛЯТИВІСТСЬКОЇ ТЕОРІЇ ЗБУРЕНЬ ДО ВИЗНАЧЕННЯ ЕНЕРГЕТИЧНИХ І СПЕКТРАЛЬНИХ ХАРАКТЕРИСТИК ВАЖКИХ І НАДВАЖКИХ АТОМІВ ТА ИОНОВ: ОГЛЯД

Автор(и)

  • A. V. Glushkov Одеський державний екологічний університет, Ukraine https://orcid.org/0000-0001-7192-791X
  • V. B. Ternovsky Одеська національна морська академія, Ukraine
  • A. V. Smirnov Одеський державний екологічний університет, Ukraine
  • A. A. Svinarenko Одеський державний екологічний університет, Ukraine

DOI:

https://doi.org/10.18524/0235-2435.2017.26.125895

Ключові слова:

Калібрувально-інваріантна релятивістська теорія збурень, Важкі іони, Релятивістський енергетичний формалізм

Анотація

В роботі оглядово викладені основи ефективного, послідовного ab initio підходу до релятивістського обчислення спектрів багатоелектронних важких і надважких іонів з урахуванням 28 релятивістських, кореляційних, ядерних, радіаційних ефектів. Метод заснований на реляти- вістської калібрувально-інваріантної (КЕД) теорії збурень, узагальненої ефективної польової моделі ядра з використанням оптимізованого одноквазічастинкового представлення вперше в теорії надтонкої структури спектру релятивістського атома. Базис хвильових функцій нульового наближення визначається рішеннями Dirac рівняння з потенціалом, який включає в себе самоузгоджений ab initio електронний потенціал, електричний і поляризаційний потенціали ядра. Кореляційні поправки вищих порядків враховуються в рамках методу функцій Гріна (з використанням техніки діаграм Feynman). Враховано всі кореляційні поправки другого порядку і домінуючі класи діаграм вищих порядків (екранування електронів, взаємодія частинки з діркою, ітерації масового оператора). Магнітна міжелектронна взаємодія враховується в нижчому за параметром a (a - стала тонкої структури) наближенні, власне-енергетична частина лембовського зсуву ефективно враховується в рамках узагальненої непертурбативної процедури Ivanov-Ivanova, ефект поляризації вакууму лембовського зсуву - в наближенні UehlingSerber з урахуванням поправок Källen-Sabry a2 (aZ) та Wichmann-Kroll a(aZ)n (Z – заряд ядра).

Біографії авторів

A. V. Glushkov, Одеський державний екологічний університет

A. V. Glushkov

V. B. Ternovsky, Одеська національна морська академія

V. B. Ternovsky

A. V. Smirnov, Одеський державний екологічний університет

A. V. Smirnov

A. A. Svinarenko, Одеський державний екологічний університет

A. A. Svinarenko

Посилання

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Glushkov A.V., Relativistic Quantum Theory. Quantum, mechanics of Atomic Systems. – Odessa: Astroprint, 2008. – 700 р.

Glushkov A.V., Relativistic and correlation effects in spectra of atomic systems.-Odessa: Astroprint. – 2006. – 400 р.

Glushkov A.V., Atom in electromagnetic field. – Kiev: KNT, 2005. – 450P.

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Glushkov A.V., Khetselius O.Yu., Loboda A.V., Svinarenko A.A., QED approach to atoms in a laser field: Multiphoton resonances and above threshold ionization//Frontiers in Quantum Systems in Chemistry and Physics, Ser.: Progress in Theoretical Chemistry and Physics; Eds. S.Wilson, P.J.Grout, J. Maruani, G. Delgado-Barrio, P. Piecuch (Springer), 2008. – Vol.18.– P. 543-560.

Glushkov A.V., Khetselius O.Y., Malinovskaya S.V., New laser-electron nuclear effects in the nuclear γ transition spectra in atomic and molecular systems// Frontiers in Quantum Systems in Chemistry and Physics. Series: Progress in Theoretical Chemistry and Physics Eds. S.Wilson, P.J.Grout, J. Maruani, G. Delgado-Barrio, P. Piecuch (Springer). – 2008. – Vol. 18. – 525 p.

Glushkov A.V., Khetselius O.Yu., Svinarenko A.A., Prepelitsa G.P., Energy approach to atoms in a laser field and quantum dynamics with laser pulses of different shape//In: Coherence and Ultrashort Pulse Laser Emission, Ed. by Dr. F. Duarte (InTech). – 2010. – P. 159-186.

Glushkov A.V., Khetselius O., Svinarenko A, Relativistic theory of cooperative muon-g gamma-nuclear processes: Negative muon capture and metastable nucleus discharge// Advances in the Theory of Quantum Systems in Chemistry and Physics. Ser.: Progress in Theor. Chem. and Phys., Eds. P.Hoggan, E.Brandas, J.Maruani, G. DelgadoBarrio, P.Piecuch (Springer). – 2012. – Vol. 22. – 51 p.

Glushkov A.V., Rusov V.D., Ambrosov S.V., Loboda A.,Resonance states of compound super-heavy nucleus and EPPP in heavy nucleus collisions//New projects and new lines of research in nuclear physics. Eds. G.Fazio, F.Hanappe, Singapore : World Scientific. – 2003. – P. 126-132.

Glushkov A.V., Khetselius O.Yu., Prepelitsa G., Svinarenko A.A., Geometry of Chaos: Theoretical basis’s of a consistent combined approach to treating chaotic dynamical systems and their parameters determination //Proc. of International Geometry Center”. – 2013. – Vol. 6, N 1. – P. 43-48.

Malinovskaya S.V., Glushkov A.V., Dubrovskaya Yu.V., Vitavetskaya L.A., Quantum calculation of cooperative muon-nuclear processes: discharge of metastable nuclei during negative muon capture// Recent Advances in the Theory of Chemical and Physical Systems (Springer). – 2006. – Vol. 15. – P. 301-307.

Malinovskaya S.V., Glushkov A.V., Khetselius O.Yu., Lopatkin Yu., Loboda A.V., Svinarenko A., Nikola L., Perelygina T., Generalized energy approach to calculating electron collision cross-sections for multicharged ions in a plasma: Debye shielding model// Int. Journ. Quant. Chem. – 2011. – Vol. 111, N 2. – P. 288-296.

Malinovskaya S.V., Glushkov A.V., Khetselius O.Yu., Svinarenko A.A., Mischenko E.V., Florko T.A., Optimized perturbation theory scheme for calculating the interatomic potentials and hyperfine lines shift for heavy atoms in the buffer inert gas//Int. Journ. Quant.Chem. – 2009. – Vol. 109, N 14. – P. 3325-3329.

Glushkov A.V., Khetselius O.Y., Malinovskaya S.V., Spectroscopy of cooperative laser-electron nuclear effects in multiatomic molecules// Molec. Phys. (UK). – 2008. – Vol. 106. – N 9-10. – P. 1257-1260.

Glushkov A.V., Khetselius O.Yu., Svinarenko A.A., Prepelitsa G.P., Mischenko E.V., The Green’s functions and density functional approach to vibrational structure in the photoelectron spectra for molecules// AIP Conf. Proceedings. – 2010. – Vol.1290. – P. 263-268.

Glushkov A.V, Malinovskaya S.,Co-operative laser nuclear processes: border lines effects// In: New projects and new lines of research in nuclear physics. Eds. G.Fazio and F.Hanappe, Singapore : World Scientific. – 2003. – P. 242-250.

Glushkov A.V., Effective quasi-particle valence hamiltonian of molecules in the comprehensive semi-empirical theory// Sov. Journ. Struct. Chem. – 1998. – Vol. 29, N 4. – P. 3-9.

Glushkov A.V., Loboda A.V., Gurnitskaya E., Svinarenko A., QED theory of radiation emission and absorption lines for atoms in a strong laser field//Phys. Scripta. – 2009. – T. 135. – P. 014022.

Glushkov A.V., Malinovskaya S.V., Prepelitsa G.P., Ignatenko V.M., Manifestation of the new laser-electron nuclear spectral effects in thermalized plasma: QED theory of cooperative laser-electronnuclear processes//J. Phys.:Conf.Ser. – 2005. – Vol. 11. – P. 199-206.

Glushkov A.V., Malinovskaya S.V., Ambrosov S., Shpinareva I.M., Troitskaya O.V., Resonances in quantum systems in strong external fields consistent quantum approach// J. of Techn.Phys.-1997. – Vol. 38, Iss.2. – P. 215-218.

Glushkov A.V., Malinovskaya S.V., Loboda A., Shpinareva I.M.,Gurnitskaya E., Korchevsky D., Diagnostics of the collisionally pumped plasma and search of the optimal plasma parameters of x-ray lasing: Calculation of electron-collision strengths and rate coefficients for Ne-like plasma// J. Phys.: Conf.Ser. – 2005. – Vol.11. – P. 188-198.

Glushkov A.V., Lovett L., Khetselius O.Yu., Gurnitskaya E.P., Dubrovskaya Yu.V., Loboda A.V., Generalized multiconfiguration model of decay of multipole giant resonances applied to analysis of reaction (m-n) on the nucleus 40Ca// Internat. Journ. Modern Physics A. – 2009. – Vol. 24, N. 2-3. – P. 611-615.

Glushkov A.V., Malinovskaya S.V., Sukharev D.E., Khetselius O.Yu., Loboda A.V., Lovett L., Green’s function method in quantum chemistry: New numerical algorithm for the Dirac equation with complex energy and Fermi-model nuclear potential//Int.Journ. Quant. Chem. – 2009. – Vol. 109. – N 8. – P. 1717-1727.

Glushkov A.V., Kondratenko P.A., Lepikh Ya., Fedchuk A.P., Svinarenko A.A., Lovett L., Electrodynamical and quantum - chemical approaches to modelling the electrochemical and catalytic processes on metals, metal alloys and semiconductors //Int. Journ. Quantum Chem. – 2009. – Vol. 109, N 14. – P. 3473-3481.

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Glushkov A.V., Khetselius O.Yu., Lovett L., Electron-b-Nuclear Spectroscopy of Atoms and Molecules and Chemical Bond Effect on the b-Decay parameters// Advances in the Theory of Atomic and Molecular Systems Dynamics, Spectroscopy, Clusters, and Nanostructures. Series: Progress in Theor. Chem. and Phys., Eds. Piecuch P., Maruani J., Delgado-Barrio G., Wilson S. (Springer). – 2009. – Vol. 20. – P. 125-152.

Glushkov A.V., Svinarenko A.A., Khetselius O.Yu., Buyadzhi V.V., Florko T.A., Shakhman A.N., Relativistic Quantum Chemistry: An Advanced approach to the construction of the Green function of the Dirac equation with com-plex energy and mean-field nuclear potential // Frontiers in Quantum Methods and Applications in Chem. and Physics. Ser.: Progress in Theor. Chemistry and Phys., Eds. M. Nascimento, J.Maruani, E.Brändas, G. Delgado-Barrio (Springer). – 2015. – Vol. 29. – P. 197-217.

Khetselius O.Yu., Optimized perturbation theory to calculating the hyperfine line shift and broadening for heavy atoms in the buffer gas// Frontiers in Quantum Methods and Applications in Chemistry and Physics. Ser.: Progress in Theor. Chem. and Phys., Eds. M.Nascimento, J.Maruani, E.Brändas, G.Delgado-Barrio (Springer). – 2015. – Vol. 29. – P. 55-76.

Glushkov A.V., Malinovskaya S.V., New approach to the formation of model potential for valence-electrons // Zhurn.Fizich.Khimii.-1988.-Vol.62(1).- P.100-104.

Glushkov A.V.,Lepikh Ya.I.,Khetselius O.Yu., Fedchuk A.P., Ambrosov S.V , Ignatenko A.V., Wannier-mott excitons and atoms in a DC elecric field: photoionization, Stark effect, resonances in the ionization continuum// Sensor Electr. and Microsyst. Techn.-2008.- N4.-P.5-11.

Khetselius O.Yu., Relativistic energy approach to cooperative electronγ-nuclear processes: NEET Effect// Quantum Systems in Chemistry and Physics: Progress in Methods and Applications. Ser.: Progress in Theor. Chem. and Phys., Eds. K.Nishikawa, J. Maruani, E.Brandas, G. Delgado-Barrio, P.Piecuch (Springer).-2012-Vol.26.- P.217.

Buyadzhi V.V., Glushkov A.V., Lovett L., Spectroscopy of atoms and nuclei in a strong laser field: AC Stark effect and multiphoton resonances // Photoelectronics.-2014.-Vol.23.-P. 38- 43.

Ternovsky V.B., Glushkov A.V., Zaichko P., Khetselius O.Yu., Florko T.A., New relativistic model potential approach to sensing radiative transitions probabilities in spectra of heavy Rydberg atomic systems//Sensor Electr. and Microsyst. Techn. - 2015.-Vol.12,N4.-P.19-26.

Buyadzhi V.V., Glushkov A.V., Mansarliysky V.F., Ignatenko A.V., Svinarenko A.A., Spectroscopy of atoms in a strong laser field: New method to sensing AC Stark effect, multiphoton resonances parameters and ionization crosssections //Sensor Electr. and Microsyst. Techn.-2015.-Vol.12,N4.-P.27-36.

Glushkov A.V., Mansarliysky V.F., Khetselius O.Yu., Ignatenko A.V., Smirnov A., Prepelitsa G.P., Collisional shift of hyperfine line for thallium in an atmosphere of the buffer inert gas // Journal of Physics: C Series (IOP, London, UK).-2017.-Vol.810.-P. 012034.

Buyadzhi V.V., Zaichko P.A., Gurskaya M., Kuznetsova A.A., Ponomarenko E.L., Ternovsky E.,Relativistic theory of excitation and ionization of Rydberg atoms in a Black-body radiation field // J. Phys.: Conf. Series.-2017.-Vol.810.-P. 012047.

Glushkov A.V., Khetselius O.Y., Brusentseva S.V., Zaichko P.A., Ternovsky V.B., Studying interaction dynamics of chaotic systems within a non-linear prediction method: application to neurophysiology// Advances in Neural Networks, Fuzzy Systems and Artificial Intelligence, Series: Recent Advances in Computer Engineering, Ed. J.Balicki.-2014.-Vol.21.-P.69-75.

Glushkov A.V., Svinarenko A.A., Buyadzhi V.V., Zaichko P., Ternovsky V., Chaos-geometric attractor and quantum neural networks approach to simulation chaotic evolutionary dynamics during perception process// Advances in Neural Networks, Fuzzy Systems and Artificial Intelligence, Series: Recent Advances in Computer Engineering, Ed. J.Balicki.-2014.-Vol.21.-P.143-150.

Glushkov A.V., Spectroscopy of atom and nucleus in a strong laser field: Stark effect and multiphoton Resonances// J.Phys.: Conf. Series (IOP).-2014.- Vol. 548.-P.012020.

Glushkov A.V., Kondratenko P.A., Buyadzhi V.V., Kvasikova A.S., Shakhman A.S., Sakun T.N., Spectroscopy of cooperative laser electron-γ-nuclear processes in polyatomic molecules// J. Phys.: Conf. Ser.-2014.-Vol.548.-P.012025

Glushkov A.V., Khetselius O.Yu., Lopatkin Y., Florko T.A., Kovalenko O., Mansarliysky V., Collisional shift of hyperfine line for rubidium in an atmosphere of the buffer inert gas//J. Phys.:Conf.Series.-2014.-Vol.548.- P.012026

Svinarenko A.A., Study of spectra for lanthanides atoms with relativistic many- body perturbation theory: Rydberg resonances// J. Phys.: Conf. Ser.-2014.-Vol.548.-P.012039.

Svinarenko A.A., Ignatenko A.V., Ternovsky V.B., Nikola V.V., Seredenko S.S., Tkach T.B., Advanced relativistic model potential approach to calculation of radiation transition parameters in spectra of multicharged ions// J. Phys.: Conf. Ser. -2014.-Vol.548.-P. 012047.

Svinarenko A.A., Khetselius O.Yu., Buyadzhi V.V., Florko T.A., Zaichko P.A., Ponomarenko E.L., Spectroscopy of Rydberg atoms in a Black-body radiation field: Relativistic theory of excitation and ionization// J. Phys.: Conf. Ser.-2014.-Vol.548.-P. 012048.

Glushkov A.V., Khetselius O.Yu., Bunuakova Yu.Ya., Buyadzhi V.V, Brusentseva S.V., Zaichko P.A., Sensing interaction dynamics of chaotic systems within a chaos theory and microsystem technology Geomath with application to neurophysiological systems// Sensor Electr. and Microsyst.Techn.-2014.-Vol. 11,N3.-P.62-69.

Prepelitsa G.P., Glushkov A.V., Lepikh Ya.I., Buyadzhi V.V., Ternovsky V.B., Zaichko P.A., Chaotic dynamics of nonlinear processes in atomic and molecular systems in electromagnetic field and semiconductor and fiber laser devices: new approaches, uniformity and charm of chaos// Sensor Electr. and Microsyst. Techn.-2014.-Vol.11,N4.-P.43-57.

Khetselius O., Hyperfine structure of atomic spectra.-Odessa: Astroprint, 2008.-210P. 55. Khetselius O.Yu., Hyperfine structure of radium// Photoelectronics.-2005.-N14.- P.83-85.

Khetselius O., Spectroscopy of cooperative electron-gamma-nuclear processes in heavy atoms: NEET effect// J. Phys.: Conf. Ser.-2012.- Vol.397.-P.012012

Khetselius O.Yu., Florko T.A., Svinarenko A.A., Tkach T.B., Radiative and collisional spectroscopy of hyperfine lines of the Li-like heavy ions and Tl atom in an atmosphere of inert gas//Phys.Scripta.-2013.-Vol.T153- P.014037.

Khetselius O.Yu., Turin A.V., Sukharev D.E., Florko T.A., Estimating of Xray spectra for kaonic atoms as tool for sensing the nuclear structure// Sensor Electr. and Microsyst. Techn.-2009.- N1.-P.30-35.

Khetselius O.Yu., On possibility of sensing nuclei of the rare isotopes by means of laser spectroscopy of hyperfine structure//Sensor Electr. and Microsyst. Techn.-2008.-Vol.3.-P.28-33.

Glushkov A.V., Malinovskaya S.V, Gurnitskaya E.P., Khetselius O.Yu.,Dubrovskaya Yu.V., Consistent quantum theory of the recoil induced excitation and ionization in atoms during capture of neutron// Journal of Physics: Conf. Series (IOP).-2006.- Vol.35.- P.425-430.

Glushkov A.V., Khetselius O.Y., Brusentseva S.V., Zaichko P.A., Ternovsky V.B., Studying interaction dynamics of chaotic systems within a non-linear prediction method: application to neurophysiology // Advances in Neural Networks, Fuzzy Systems and Artificial Intelligence, Ser: Recent Adv. in Computer Engineering, Ed. J.Balicki.-2014.- Vol.21.-P.69-75.

Khetselius O.Yu., Quantum Geometry: New approach to quantization of the quasistationary states of Dirac equation for super heavy ion and calculating hy-per fine structure parameters// Proc. Int. Geometry Center.-2012.-Vol.5,№ 3-4.- P.39-45.

Glushkov A.V., Khetselius O.Yu., Svinarenko A.A., Theoretical spectroscopy of autoionization resonances in spectra of lanthanide atoms// Physica Scripta.- 2013.-Vol.T153.-P.014029.

Glushkov A.V., Khetselius O.Yu., Gurnitskaya E.P., Loboda A.V., Sukharev D.E., Relativistic quantum chemistry of heavy ions and hadronic atomic systems: spectra and energy shifts // Theory and Applications of Computational Chemistry. AIP Conference Proceedings.- 2009.-Vol. 1102.-P. 168-171.

Khetselius O.Yu., Relativistic calculating the spectral lines hyperfine structure parameters for heavy ions//Spectral Line Shapes, AIP Conf. Proceedings.- 2008.-Vol. 1058.-P. 363-365.

Khetselius O.Yu., Glushkov A.V., Gurnitskaya E.P., Loboda A.V., Mischenko E.V., Florko T.A., Sukharev D.E., Collisional Shift of the Tl hyperfine lines in atmosphere of inert gases// Spectral Line Shapes, AIP Conf. Proceedings.- 2008.-Vol. 1058.-P. 231-233.

Khetselius O.Yu., Hyperfine structure of energy levels for isotopes 73Ge, 75As, 201Hg// Photoelectronics.-2007.- N 16.-P. 129-132.

Khetselius O.Y., Gurnitskaya E.P., Sensing the electric and magnetic moments of a nucleus in the N-like ion of Bi// Sensor Electr. and Microsyst. Techn.-2006.-N 3.-P. 35-39.

Khetselius O.Y., Gurnitskaya E.P., Sensing the hyperfine structure and nuclear quadrupole moment for radium// Sensor Electr. and Microsyst. Techn.-2006.- N 2.-P. 25-29.

Florko T.A., Loboda A.V., Svinarenko A.A., Sensing forbidden transitions in spectra of some heavy atoms and multicharged ions: New theoretical scheme// Sensor Electr. and Microsyst. Techn.-2009.-N 3.-P. 10-15.

Sukharev D.E., Khetselius O.Yu., Dubrovskaya Yu.V., Sensing strong interaction effects in spectroscopy of hadronic atoms// Sensor Electr. and Microsyst. Techn.-2009.-N 3.-P. 16-21.

Glushkov A.V., Khetselius O.Yu., Kuzakon V., Prepelitsa G.P., Solyanikova E.P., Svinarenko A., Modeling of interaction of the non-linear vibrational systems on the basis of temporal series analyses (application to semiconductor quantum generators)// Dynamical Systems-Theory and Applications.-2011.- BIF110.

Svinarenko A.A., Nikola L. V., Prepelitsa G., Tkach T.B, Mischenko E.V., Auger (autoionization) decay of excited states in spectra of multicharged ions: Relativistic theory//AIP Conf.Proceedings. – 2010. – Vol.1290, N1. – P. 94-98.

Glushkov A.V., Khetselius O.Yu., Loboda A.V., Ignatenko A., Svinarenko A., Korchevsky D., Lovett L., QED approach to modeling spectra of the multicharged ions in a plasma: Oscillator and electron‐ion collision strengths// Spectral Line Shapes. AIP Conference Proceedings.-2008.-Vol.1058.- P.175-177

Glushkov A.V., Svinarenko A.A., Nuclear quantum optics: Energy approach to multi-photon resonances in nuclei // Sensor Electr. and Microsyst. Techn.-2010.-N2.-P.5-10.

Glushkov A.V., Energy approach to resonance states of compound super-heavy nucleus and EPPP in heavy nuclei collisions// Low Energy Antiproton Phys. AIP Conference Proceedings.-2005.- Vol.796.-P.206-210.

Malinovskaya S.V., S.V., Dubrovskaya Yu., Vitavetskaya L., Advanced quantum mechanical calculation of the beta decay probabilities// Low Energy Antiproton Phys. AIP Conference Proceedings.-2005.-Vol.796.- P.201-205.

Glushkov A.V., Ambrosov S.V., Loboda A., Gurnitskaya E.P., Prepelitsa G.P., Consistent QED approach to calculation of electron-collision excitation crosssections and strengths: Ne-like ions//Int. Journ.Quant.Chem.-2005.-Vol.104, N4 .-P. 562-569.

Glushkov A.V., Ambrosov S.V., Ignatenko A.V., Korchevsky D.A., DC Strong Field Stark effect for non-hydrogenic atoms: Consistent quantum mechanical approach// Int.Journ. Quant. Chem.-2004.-Vol.99,N6.-P.936-939.

Glushkov A.V, Malinovskaya S.V, Chernyakova Y.G., Svinarenko A.A., Cooperative laser-electron-nuclear processes: QED calculation of electron satellites spectra for multi-charged ion in laser field// Int. Journ. Quant. Chem.- 2004. - Vol. 99, N 6. - P. 889-893.

Glushkov A.V, Khetselius O.Yu, Malinovskaya S.V, Optics and spectroscopy of cooperative laser-electron nuclear processes in atomic and molecular systems - new trend in quantum optics// Europ. Phys. Journ. ST. - 2008. - Vol. 160, N 1. - P. 195-204.

Glushkov A.V., Dan’kov S.V., Prepelitsa G., Polischuk V.N., Efimov A., Qed theory of nonlinear interaction of the complex atomic systems with laser field multi-photon resonances// Journal of Tech. Phys. - 1997. - Vol. 38 (2). - P. 219-222

Glushkov A.V., Operator Perturbation Theory for Atomic Systems in a Strong DC Electric Field//Advances in Quantum Methods and Applications in Chemistry, Physics, and Biology. Series: Frontiers in Theoretical Physics and Chemistry, Eds. M.Hotokka, J.Maruani, E. Brändas, G.DelgadoBarrio (Springer). - 2013. -Vol. 27.- P. 161-177.

Glushkov A.V., Ambrosov S.V., Loboda A.V., Gurnitskaya E.P., Khetselius O.Yu., QED calculation of heavy multicharged ions with account for the correlation, radiative and nuclear effects// Recent Advances in Theor. Phys. and Chem. Systems.-2006.-Vol.15.- P.285-300.

Glushkov A.V., Calculation of parameters of the interaction potential between excited alkali atoms and mercury atoms-the Cs-, Fr-Hg interaction// Optika i Spektr.-1994.-Vol.77 (1).-P.5-10.

Glushkov A.V.,Khetselius O.Yu., Gurnitskaya E.P., Korchevsky D.A., Loboda A.V., Prepelitsa G.P., Sensing the electron-collision excitation cross-sections for Ne-like ions of Fe in a plasma in the Debye shileding approximation// Sensor Electr. and Microsyst. Techn.-2007.- N2.-P.9-13

Glushkov A.V., Khetselius O.Yu., Gurnitskaya E.P., Florko T.A., Sensing of nuclei available in little quantities by means of laser spectroscopy of hyperfine structure for isotopes: new theoretical scheme (U ,Hg) // Sensor Electr. and Microsyst. Techn.-2007.-N3.-P.8-12.

Glushkov A.V., Bunyakova Yu.Ya., Zaichko P., Geometry of Chaos: Consistent combined approach to treating chaotic dynamics atmospheric pollutants and its forecasting// Proc. International Geometry Center”.-2013.-Vol.6, N3.- P.6-14.

Glushkov A.V., Khetselius O.Yu., Prepelitsa G.P., Svinarenko A.A., Geometry of Chaos I: Theoretical basis’s of a consistent combined approach//Proc. Int. Geometry Center.-2013.-Vol.6,N1.- P.67-79.

Chernyakova Yu.G., Dubrovskaya Yu.V., Florko T.A., Romanova A.V., Vitavetskaya L., An advanced approach to quantization of the quasi stationary states of Dirac-Slater equation// Proc. Int. Geometry Center.-2013.-Vol.6,N2.- P.29-34.

Glushkov A.V., Khetselius O., Dubrovskaya Yu.V., Loboda A.V., Sensing the capture of negative muon by atoms: Energy approach// Sensor Electr. and Microsyst. Techn.-2006.-N4.-P.31-35.

Serbov N.G., Glushkov A.V., Bunyakova Yu.Ya., Prepelitsa G.P., Svinarenko A.A., Sensing the kinetical features of energy exchange in mixture CO2 -N2 -H2 0 of atmospheric gases under interacting with laser radiation// Sensor Electr. and Microsyst. Techn.-2006.-N4.-P.20-22.

Glushkov A.V., Khetselius O.Y., Bun- 26 yakova Yu.Ya., Prepelitsa G.P., Solyanikova E.P., Serga E., Non-linear prediction method in short-range forecast of atmospheric pollutants: low-dimensional chaos// Dynamical Systems - Theory and Applications (Lodz).-2011.- P.39-44 (LIF111).

Khetselius O.Yu., Forecasting evolutionary dynamics of chaotic systems using advanced non-linear prediction method// Dynamical Systems – Theory and Applications, Eds. J. Awrejcewicz, M. Kazmierczak, P. Olejnik, J, Mrozowski.-2013.-Vol.1.-P.145-152.

Glushkov A.V., Kuzakon V.M., Ternovsky V.B., Buyadzhi V.V., Dynamics of laser systems with absorbing cell and backward-wave tubes with elements of a chaos// Dynamical Systems – Theory and Applications, Eds. J. Awrejcewicz, M. Kazmierczak, P. Olejnik, J, Mrozowski.-2013.-Vol.T1.-P.461-466.

Bunyakova Yu.Ya., Khetselius O.Yu., Non-linear prediction statistical method in forecast of atmospheric pollutants// Proc. of 8th International Carbon Dioxide Conference.-2009.-P.T2-098.

Glushkov A.V., Khetselius O., Svinarenko A.A., Lovett L., Energy approach to nuclei and atoms in a strong laser field: Stark effect and multi-photon resonances // Quantum Theory: Reconsideration of Foundations. AIP Conference Proceedings.-2010.-Vol.1232.- P.228-234.

Svinarenko A.A., Glushkov A.V., Loboda A.V., Sukharev D.E., Dubrovskaya Yu.V., Mudraya N.V., Serga I.N., Green’s function of the Dirac equation with complex energy and non-singular central nuclear potential//Quantum Theory: Reconsideration of Foundations. AIP Conf. Proceedings.-2010.- Vol.1232.-P.259-266.

Khetselius O. Yu., Florko T. A., Nikola L., Svinarenko A., Serga I., Tkach T., Mischenko E., Hyperfine structure, scalar-pseudoscalar interaction and parity non-conservation effect in some heavy atoms and ions// Quantum Theory: Reconsideration of Foundations. AIP Conference Proceedings.-2010.-Vol.1232.- P.243-250.

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2018-03-12

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