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

A. V. Glushkov, V. B. Ternovsky, A. V. Smirnov, A. A. Svinarenko

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).

Ключові слова


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

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Посилання


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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.

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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.

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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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