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Faddeev Approach to the Ground State of Three-Particle Coulomb Systems

Faddeev Approach to the Ground State of Three-Particle Coulomb Systems Using a one-state approximation in the Faddeev equations, the ground-state energies of several three-particle Coulomb systems are computed and compared with the earlier variational results. The simplicity and general applicability of this method are in contrast with the variational techniques. Our results also give an idea of the accuracy involved in a one-state approximation for the Faddeev kernel. Some major numerical difficulties are illustrated. Complete analytical expressions for the Faddeev kernel in the two-state approximation are given in an appendix. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Physical Review A American Physical Society (APS)

Faddeev Approach to the Ground State of Three-Particle Coulomb Systems

Physical Review A , Volume 3 (1) – Jan 1, 1971
8 pages

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Publisher
American Physical Society (APS)
Copyright
Copyright © 1971 The American Physical Society
ISSN
1094-1622
DOI
10.1103/PhysRevA.3.234
Publisher site
See Article on Publisher Site

Abstract

Using a one-state approximation in the Faddeev equations, the ground-state energies of several three-particle Coulomb systems are computed and compared with the earlier variational results. The simplicity and general applicability of this method are in contrast with the variational techniques. Our results also give an idea of the accuracy involved in a one-state approximation for the Faddeev kernel. Some major numerical difficulties are illustrated. Complete analytical expressions for the Faddeev kernel in the two-state approximation are given in an appendix.

Journal

Physical Review AAmerican Physical Society (APS)

Published: Jan 1, 1971

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