Computational methods for generalized Sturmians basis

DOI10.1016/J.CPC.2011.01.016zbMath1214.81081OpenAlexW2150999642WikidataQ105646257 ScholiaQ105646257MaRDI QIDQ538604

Juan M. Randazzo, Darío M. Mitnik, Flavio D. Colavecchia, Gustavo Gasaneo

Publication date: 25 May 2011

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cpc.2011.01.016

zbMATH Keywords

atomic spectracontinuum spectrageneralized Sturmian functions

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Three-body problems (70F07) Sturm-Liouville theory (34B24) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Software, source code, etc. for problems pertaining to quantum theory (81-04)

Related Items (5)

Computational aspects of the continuum quaternionic wave functions for hydrogen ⋮ Quasi-Sturm functions in problems of the continuous spectrum ⋮ Linearization and Krein-like functionals of hypergeometric orthogonal polynomials ⋮ Non-homogeneous solutions of a Coulomb Schrödinger equation as basis set for scattering problems ⋮ Accelerating spectral atomic and molecular collisions methods with graphics processing units

Uses Software

• Sturmian
• RADWEQ

Cites Work

• Unnamed Item
• Unnamed Item
• Accurate numerical solution of the radial Schrödinger and Dirac wave equations
• A fast eigenvalue algorithm for Hankel matrices
• Application of Sturmian functions to the Schrödinger three-body problem: Elastic \(e^ +\)-H scattering
• Radial Configurational Interaction in Helium and Similar Atomic Systems
• Two-body Coulomb wavefunctions as kernel for alternative integral transformations
• A special asymptotic limit of a Kampé de Fériet hypergeometric function appearing in nonhomogeneous Coulomb problems

This page was built for publication: Computational methods for generalized Sturmians basis