Direct numerical solution of the Schroedinger equation for quantum scattering problems

Journal Article · Sat Aug 01 04:00:00 EDT 1992 · Physical Review A. General Physics; (United States)

DOI:https://doi.org/10.1103/PhysRevA.46.R1155· OSTI ID:7034824

Botero, J ^[1]; Shertzer, J ^[2]

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1. Department of Physics and Astronomy, University of Tennessee, Knoxville, Tennessee 37996 (United States) Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831 (United States)
2. Department of Physics, College of the Holy Cross, Worcester, Massachusetts 01610 (United States)

A direct numerical solution of the Schroedinger equation for quantum scattering problems is presented. The wave function for each partial wave is expanded in coupled spherical harmonics and the corresponding radial functions are expanded in a local basis set using finite-element analysis, with the appropriate scattering boundary conditions. The method is shown to give very accurate results for elastic phase shifts ({ital S},{ital P},{ital D}, and {ital F}) and resonance positions for electron-hydrogen scattering.

• DOE Contract Number: AC05-84OR21400
• OSTI ID: 7034824
• Journal Information: Physical Review A. General Physics; (United States), Journal Name: Physical Review A. General Physics; (United States) Vol. 46:3; ISSN 1050-2947; ISSN PLRAA
• Country of Publication: United States
• Language: English

Related Subjects

664300* -- Atomic & Molecular Physics-- Collision Phenomena-- (1992-)
74 ATOMIC AND MOLECULAR PHYSICS
ATOM COLLISIONS
COLLISIONS
DIFFERENTIAL EQUATIONS
ELECTRON COLLISIONS
ELECTRON-ATOM COLLISIONS
ELEMENTS
EQUATIONS
FINITE ELEMENT METHOD
HYDROGEN
NONMETALS
NUMERICAL SOLUTION
PARTIAL DIFFERENTIAL EQUATIONS
PHASE SHIFT
RESONANCE
SCATTERING
SCHROEDINGER EQUATION
WAVE EQUATIONS