Please use this identifier to cite or link to this item:
https://dspace.uzhnu.edu.ua/jspui/handle/lib/9302
Title: | Quasiclassical Approximation in the Non-Relativistic and Relativistic Problems of Tunneling Ionization of a Hydrogen-Like Atom in a Uniform Electric Field |
Authors: | Рейтій, Олександр Костянтинович Рейтій, Владислав Костянтинович Лазур, Володимир Юрійович |
Keywords: | Тунельна іонізація атомів, метод ВКБ, рівняння Дірака, ефект Штарка |
Issue Date: | 2016 |
Publisher: | EDP Sciences |
Citation: | Reity O.K., Reity V.K., Lazur V.Yu. Quasiclassical Approximation in the Non-Relativistic and Relativistic Problems of Tunneling Ionization of a Hydrogen-Like Atom in a Uniform Electric Field// EPJ Web of Conferences. – 2016. – V. 108. – 02039 (6 pp.), DOI: 10.1051/epjconf/201610802039. |
Abstract: | A recurrent scheme for finding the quasiclassical solution of the one-dimensional equation obtained after the separation of variables in the Schrödinger equation in parabolic coordinates is derived. The method of quasiclassical localized states is developed for the Dirac equation with an arbitrary axially symmetric potential of barrier type which does not allow complete separation of the variables. By means of the proposed quasiclassical methods the non-relativistic and relativistic wavefunctions for hydrogen-like (H-like) atoms in an external uniform electrostatic field of intensity F are constructed in the classically forbidden and allowed regions. The general analytical expressions of the leading term of the asymptotic behaviour (at small F) of the ionization rate of an H-like atom in the uniform electrostatic field are obtained for the non-relativistic and relativistic cases. |
Type: | Text |
Publication type: | Стаття |
URI: | https://dspace.uzhnu.edu.ua/jspui/handle/lib/9302 |
Appears in Collections: | Наукові публікації кафедри диференціальних рівнянь та математичної фізики |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
epjconf_mmcp2016_02039.pdf | 110.21 kB | Adobe PDF | View/Open |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.