THREE FAMILIES OF INTEGRALS WHICH ARISE IN SOME THREE-BODY PROBLEMS.
Abstract
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)
Document Details
- Document Type
- Technical Report
- Publication Date
- Apr 01, 1967
- Accession Number
- AD0654299
Entities
People
- John R. Jasperse
Organizations
- Air Force Cambridge Research Laboratories