Least-squares method in scattering theory
- 1 January 1986
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 33 (1) , 182-190
- https://doi.org/10.1103/physreva.33.182
Abstract
A particular least-squares method is presented for the calculation of inelastic scattering wave functions by an expansion technique. The variational procedure is based on a convenient error functional. The test-function space is spanned by a finite set of square-integrable (Hilbert-space) basis functions. The open-channel orbitals include the Kohn-Hulthén–type oscillatory terms of nonvanishing asymptotic amplitudes. The error functional involves only bound-bound and bound-free matrix elements. Criteria are given to select acceptable approximations. Two-channel calculations show that the zero-order results of this method have an accuracy comparable to the first-order results of earlier calculations. No anomalies are encountered.Keywords
This publication has 48 references indexed in Scilit:
- A least-squares technique for electron scattering by atoms and moleculesJournal of Physics B: Atomic and Molecular Physics, 1985
- Expansion methods for the Dirac equationThe Journal of Chemical Physics, 1984
- Schwinger variational linear algebraic equations methodJournal of Physics B: Atomic and Molecular Physics, 1983
- Search Procedure for Multichannel Resonances in Electron-Atom ScatteringPhysical Review A, 1971
- Electron Scattering from HydrogenPhysical Review B, 1961
- Variational calculations of scatteringAnnals of Physics, 1961
- The Elastic and Inelastic Scattering of Electrons and Positrons from the s-states of Atomic HydrogenProceedings of the Physical Society, 1960
- The Numerical Solution of the Exchange Equations for Slow Electron Collisions with Hydrogen AtomsProceedings of the Physical Society, 1960
- The application of variational methods to atomic scattering problems II. Impact excitation of the 2s level of atomic hydrogen-distorted wave treatmentProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1952
- Variational Methods in Nuclear Collision ProblemsPhysical Review B, 1948