Comparison of numerical solutions of the partial-wave Schroedinger differential and integral equations

Journal Article · Thu Sep 01 04:00:00 EDT 1977 · J. Comput. Phys.; (United States)

DOI:https://doi.org/10.1016/0021-9991(77)90025-0· OSTI ID:7280804

Stern, M S

Various methods for computing radial wave functions and scattering phase shifts of short-range local interactions are briefly discussed and numerical results are presented for a static electron--hydrogen potential. It is found that a quadrature solution of the integral equation is highly competitive in terms of accuracy, particularly at very low energies where it has superior numerical stability over differential equation methods and is also less demanding in computer time.

• Research Organization: Department of Applied Mathematics and Computing Science, University of Sheffield, Sheffield S10 2TN, England
• OSTI ID: 7280804
• Journal Information: J. Comput. Phys.; (United States), Journal Name: J. Comput. Phys.; (United States) Vol. 25:1; ISSN JCTPA
• Country of Publication: United States
• Language: English

Related Subjects

640304 -- Atomic
Molecular & Chemical Physics-- Collision Phenomena
657002* -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
74 ATOMIC AND MOLECULAR PHYSICS
ATOM COLLISIONS
BOUNDARY-VALUE PROBLEMS
COLLISIONS
CRYOGENIC FLUIDS
DIFFERENTIAL EQUATIONS
ELECTRON COLLISIONS
ELECTRON-ATOM COLLISIONS
ELEMENTS
EQUATIONS
FLUIDS
FUNCTIONS
HYDROGEN
NONMETALS
NUMERICAL SOLUTION
PARTIAL WAVES
PHASE SHIFT
SCHROEDINGER EQUATION
WAVE EQUATIONS
WAVE FUNCTIONS