A Hartree Self Consistent Method for the Scattering of Positrons by Hydrogen Atoms (Classic Reprint) - Softcover

Ruffine, Richard S.

Softcover

ISBN 10: 1333041144 ISBN 13: 9781333041144

Verlag: Forgotten Books, 2016

Inhaltsangabe

Excerpt from A Hartree Self Consistent Method for the Scattering of Positrons by Hydrogen Atoms

Our aim has been to develop a method whereby the self - consistent features of the Hartree approach can be incorporated into a form.for the wave function which will contain correlations and satisfy the asymptotic boundary conditions. We have accomplished this by adding a sum of products of one particle functions to a product of the unperturbed bound state wave function and a function which will have the proper asymp totic form for a scattered particle. By requiring the terms in the sum to vanish at large distances, we have been able to obtain a set of coupled differential equations for the one particle functions. We can show that these differential equations lead to an effective one-particle Hamiltonian for the scattered particle in which the potential is made up of a sum of induced multipole potentials. We can also show that with a suitable set of approximations, the equations reduce to the adiabatic approximation.

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Details zur Ausgabe

• Verlag: Forgotten Books
• Erscheinungsdatum: 2016
• Sprache: Englisch
• ISBN 10: 1333041144
• ISBN 13: 9781333041144
• Einband: Taschenbuch
• Anzahl der Seiten: 74
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