Please use this identifier to cite or link to this item:
https://dspace.uzhnu.edu.ua/jspui/handle/lib/9123
Title: | The quantum mechanical two-Coulomb-centre problem in the Dirac equation framework |
Authors: | Рейтій, Олександр Костянтинович Лазур, Володимир Юрійович Катернога, Антон Володимирович |
Keywords: | Two-Coulomb-centre problem, Dirac equation, splitting of potential curves |
Issue Date: | 2002 |
Publisher: | Institute of Physics, Bristol, GB |
Citation: | 4. Reity O.K., Lazur V.Yu., Katernoha A.V. The quantum mechanical two-Coulomb-centre problem in the Dirac equation framework // J. Phys. B. – 2002. – Vol. 35, No 1. – Р. 1-17. |
Abstract: | The asymptotic expansions (at small and large internuclear distances R) of the eigenvalues (potential curves) E(R) of the two-Coulomb-centre problem are obtained. The Dirac equation with an axially symmetrical potential, not allowing complete separation of variables, is solved analytically by the Wentzel–Kramers–Brillouin approach and boundary-layer method. In the framework of this scheme, the relativistic two-Coulomb-centre wavefunction is constructed. The first two terms of the asymptotic (at large internuclear distance) behaviour of the exchange interaction potential for an ion with an atom are calculated. |
Type: | Text |
Publication type: | Стаття |
URI: | https://dspace.uzhnu.edu.ua/jspui/handle/lib/9123 |
Appears in Collections: | Наукові публікації кафедри диференціальних рівнянь та математичної фізики |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
J.Phys.B.pdf | 167.96 kB | Adobe PDF | View/Open |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.