Three Families of Integrals which Arise in Some Three-body Problems PDF Download

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Three Families of Integrals which Arise in Some Three-body Problems

Three Families of Integrals which Arise in Some Three-body Problems PDF Author: John R. Jasperse
Publisher:
ISBN:
Category : Coulomb functions
Languages : en
Pages : 40

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Book Description
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).