Three families of integrals which arise in some three-body problems / John R. Jasperse.
Three families of integrals that arise in the three-body problem with Coulomb pair potentials are examined. Two of the families are definite integrals on a single variable where the integrands are products of two Coulomb Sturmian functions. The third family is a triple integral where the integrands...
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| Format: | Government Document Book |
| Language: | English |
| Published: |
L.G. Hanscom Field, Mass. :
Air Force Cambridge Research Laboratories, Office of Aerospace Research, United States Air Force,
1967.
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| Series: | AFCRL ;
67-222. Physical sciences research papers (Air Force Cambridge Research Laboratories (U.S.)) ; no. 321. |
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| Summary: | Three families of integrals that arise in the three-body problem with Coulomb pair potentials are examined. Two of the families are definite integrals on a single variable where the integrands are products of two Coulomb Sturmian functions. The third family is a triple integral where the integrands are products of four Coulomb Sturmian functions and two Legendre polynomials. Closed-form expressions are derived for all the integrals, except for one subset of the most general triple integral. An outline of the procedure necessary to obtain a closed expression for this subset is given. (Author) |
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| Item Description: | "April 1967." AD0654299 (from http://www.dtic.mil) Solid State Sciences Laboratory Project 5621. Research supported by the Solid State Sciences Laboratory, Air Force Cambridge Research Laboratories, Office of Aerospace Research, United States Air Force, L.G. Hanscom Field, Bedford, Massachusetts. |
| Physical Description: | v, 27 pages ; 28 cm. |
| Bibliography: | Includes bibliographical references (page 27) |
| Action Note: | committed to retain |