Keplerian trajectories and an asymptotic solution of the Schroedinger equation with repulsive Coulomb potential and a localized right-hand sideстатья
Статья опубликована в журнале из списка RSCI Web of Science
Информация о цитировании статьи получена из
Scopus
Статья опубликована в журнале из списка Web of Science и/или Scopus
Дата последнего поиска статьи во внешних источниках: 30 января 2024 г.
Аннотация:DOI 10.1134/S1061920822040057In the paper, a semiclassical asymptotics for the solution of the three-dimensional stationary Schroedinger equation with repulsive Coulomb potential and localized right-hand side is constructed. The asymptotics is based on the Lagrangian manifold woven from suitable Keplerian trajectories, and the asymptotic behavior itself is globally expressed through a combination of the Airy function and its derivative with complicated arguments.