Application of the Harris expansion method to the elastic s-wave scattering of electrons by hydrogen atoms and by singly ionized helium.

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Authors
Haskell, Hugh Brasher.
Subjects
scattering theory
atomic scattering
electron-hydrogen scattering
electron-helium ion scattering
Harris expansion method
resonances
scattering resonances
auto-ionization states
Advisors
Armstead, R.L.
Date of Issue
1972-12
Date
December 1972
Publisher
Monterey, California. Naval Postgraduate School
Language
en_US
Abstract
The Harris expansion method is applied to the elastic s-wave scattering of low energy electrons from hydrogen atoms and singly ionized helium atoms. The trial wave functions are Hylleraas functions of 22, 34, 50 and 70 parameters. It is found that reasonably accurate values of e-H phase shifts can be calculated but that e-He phase shifts are substantially less reliable. It is shown that the Harris method gives an accurate depiction of the location, but not the width, of the scattering resonances. Singlet and triplet s-wave phase shifts for e-H and e-He scattering are compared with the results of other calculations and H and He S state energy levels including the auto-ionizing levels are presented and compared with other calculations and with experiment. It is tentatively concluded that the Harris method does not work on systems whose long range potential is of the Coulomb type.
Type
Thesis
Description
Series/Report No
Department
Physics and Chemistry
Organization
Naval Postgraduate School (U.S.)
Identifiers
NPS Report Number
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Funder
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Distribution Statement
Approved for public release; distribution is unlimited.
Rights
This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.
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