An approach to the boundstate threebody problem with application to the heliumlike atom /
J.R. Jasperse.
Description
 Language(s)

English
 Published

L. G. Hansom Field, Bedford, Massachusetts : Air Force Cambridge Research Laboratories, Office of Aerospace Research, United States Air Force, 1967.
 Summary

A technique is presented for treating a general type of threebody boundstate problem for situations where the interaction may be written as the sum of three pair potentials. The method is based on the work of Eyges and consists of writing the total wavefunction for the threebody problem in a special form. Some simple onedimensional applications are examined. The first involves deltafunction pairpotentials including an example where one of the pair interactions is repulsive. The second involves the onedimensional problem of three identical spinless particles interacting through attractive, squarewell potentials. The helium atom is discussed from a threebody point of view. Each orbital is expanded into a complete set of twobody Sturmian functions for the Coulomb potential. For states in atomic helium of the form L=0 the equations assume a simplified form. For these states, the infinite set of integral equations generated by the expansion is truncated at several orders and solved numerically. Rapid convergence is demonstrated for lowlying states of the heliumlike atoms using this method. In particular, results are reported for the 1s1s(1)S, 1s2s(1)S, and 2s2s(1)S states of He, Li(+), and H(  ).
 Note

"Solid State Sciences Laboratory Project 5621."
"AD0651912 (from http://www.dtic.mil)."
"March 1967."
 Physical Description

vi, 59, [24] pages :
illustrations ;
28 cm.
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