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A parabolic quasi-Sturmian approach to quantum scattering by a Coulomb-like potentialстатья
Статья опубликована в высокорейтинговом журнале
Информация о цитировании статьи получена из
Web of Science,
Scopus
Статья опубликована в журнале из списка Web of Science и/или Scopus
Дата последнего поиска статьи во внешних источниках: 23 сентября 2020 г.
- Авторы: Zaytsev S.A., Ancarani L.U., Zaytsev A.S., Kouzakov K.A.
- Журнал: European Physical Journal Plus
- Том: 135
- Год издания: 2020
- Первая страница: 1
- Последняя страница: 19
- Номер статьи: 655
- DOI: 10.1140/epjp/s13360-020-00665-5
- Аннотация: A computational method in parabolic coordinates is proposed to treat the scattering of a charged particle from both spherically and axially symmetric Coulomb-like potentials. Specifically, the long-range part of the Hamiltonian is represented in parabolic quasi-Sturmian basis functions, while the short-range part is approximated by a Sturmian $L^2$-basis-set truncated expansion. We establish an integral representation of the Coulomb Green’s function in parabolic coordinates from which we derive a convenient closed form for its matrix elements in the chosen $L^2$ basis set. From the Green’s function, we build quasi-Sturmian functions that are also given in closed form. Taking advantage of their adequate built-in Coulomb asymptotic behavior, scattering amplitudes are extracted as simple analytical sums that can be easily computed. The scheme, based on the proposed quasi-Sturmian approach, proves to be numerically efficient and robust as illustrated with converged results for three different scattering potentials, one of spherical and two of axial symmetry.
- Добавил в систему: Кузаков Константин Алексеевич