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Title: Non-homogeneous solutions of a Coulomb Schrödinger equation as basis set for scattering problems

We introduce and study two-body Quasi Sturmian functions which are proposed as basis functions for applications in three-body scattering problems. They are solutions of a two-body non-homogeneous Schrödinger equation. We present different analytic expressions, including asymptotic behaviors, for the pure Coulomb potential with a driven term involving either Slater-type or Laguerre-type orbitals. The efficiency of Quasi Sturmian functions as basis set is numerically illustrated through a two-body scattering problem.
Authors:
; ;  [1] ;  [2] ;  [3]
  1. Departamento de Física, Universidad Nacional del Sur, 8000 Bahía Blanca, Buenos Aires (Argentina)
  2. Physics Department, Pacific National University, Khabarovsk 680035 (Russian Federation)
  3. Théorie, Modélisation, Simulation, SRSMC, UMR CNRS 7565, Université de Lorraine, 57078 Metz (France)
Publication Date:
OSTI Identifier:
22250598
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Mathematical Physics; Journal Volume: 55; Journal Issue: 5; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ASYMPTOTIC SOLUTIONS; COULOMB FIELD; EQUATIONS; FUNCTIONS; SCATTERING; THREE-BODY PROBLEM; TWO-BODY PROBLEM