Discrete-basis-set approach to the minimum-variance method in electron scattering

Deborah A. Levin, Thomas N. Rescigno, Vincent McKoy

Research output: Contribution to journalArticle

Abstract

We show that the minimization of the variance integral provides a method for the determination of scattering wave functions which uses discrete basis functions exclusively. By using a separable representation of the scattering potential only one new class of matrix elements appears in the evaluation of the variance integral which is not already required in the diagonalization of the Hamiltonian. The choice of Gaussian basis functions for the expansion of the scattering wave function should make the method particularly applicable to electron-molecule scattering. Some advantages and limitations of the method are discussed.

Original languageEnglish (US)
Pages (from-to)157-162
Number of pages6
JournalPhysical Review A
Volume16
Issue number1
DOIs
StatePublished - Jan 1 1977
Externally publishedYes

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electron scattering
scattering
wave functions
optimization
expansion
evaluation
matrices
molecules
electrons

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

Cite this

Discrete-basis-set approach to the minimum-variance method in electron scattering. / Levin, Deborah A.; Rescigno, Thomas N.; McKoy, Vincent.

In: Physical Review A, Vol. 16, No. 1, 01.01.1977, p. 157-162.

Research output: Contribution to journalArticle

Levin, Deborah A. ; Rescigno, Thomas N. ; McKoy, Vincent. / Discrete-basis-set approach to the minimum-variance method in electron scattering. In: Physical Review A. 1977 ; Vol. 16, No. 1. pp. 157-162.
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