English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Zendy Plus

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Zendy Tools

Zendy Open

The Schrödinger–Coulomb problem in ℝ N , N ≥ 2, is considered in the momentum representation. The adjoint Sturmian eigenvalue problem is discussed first. The resulting radial integral equation is solved with the aid of a symmetric Poisson‐type series expansion of the Legendre function of the second kind into products of the Gegenbauer polynomials, established in the 1950's by Ossicini. A relationship between solutions to the Sturmian problem and to an energy eigenvalue problem is then exploited to find the Coulomb bound‐state energy levels in ℝ N , together with explicit representations of the associated momentum‐space wave functions.

Alternative approach to the solution of the momentum‐space Schrödinger equation for bound states of the N‐dimensional Coulomb problem