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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
Appears in Collections:Наукові публікації кафедри диференціальних рівнянь та математичної фізики

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