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Title: | Asymptotics of the two-centre wave function in the spheroidal and spherical bases |
Authors: | Рейтій, Олександр Костянтинович Лазур, Володимир Юрійович Хмара, Віктор Мирославович Рейтій, Владислав Костянтинович |
Keywords: | Теоретична фізика |
Issue Date: | 2019 |
Publisher: | Інститут експериментальної фізики, Словацької академії наук |
Citation: | O.K. Reity, V.Yu. Lazur, V.M. Khmara, V.K. Reity. Asymptotics of the two-centre wave function in the spheroidal and spherical bases // Proceedings of the 20th Small Triangle Meeting (October 7-10, 2018, Pticie, Slovakia). – Kosice. – 2019. – P. 195-208. |
Abstract: | The first two terms of the asymptotics (for large internuclear distances R) of the spheroidal wave function of the two-Coulomb-center problem are calculated both in the internuclear region and in the vicinity of each of centers. In the spherical basis, the general formula is obtained for the expansion of a two-center wave function of the left center in two-center spheroidal wave functions. Using this formula, the asymptotics of the two-center wave function in a spherical basis is calculated, which in boundary cases is compared with the results of other authors. The combined use of the approach developed in this paper and the Holstein-Herring method made it possible for the first time to calculate the term proportional to R−2 of the asymptotic expansion of the quasimolecule energy in spherical quantum numbers. |
Type: | Text |
Publication type: | Стаття |
URI: | https://dspace.uzhnu.edu.ua/jspui/handle/lib/32473 |
Appears in Collections: | Наукові публікації кафедри диференціальних рівнянь та математичної фізики |
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STM-2018_3.pdf | 497.81 kB | Adobe PDF | View/Open |
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