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Integral of a product of three 6-dimensional spherical harmonics

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posted on 06.12.2019 by A. Amaya, E. Chacón
Abstract A FORTRAN program is presented for the evaluation of the integral of a product of three 6-dimensional spherical harmonics over the surface of the unit 6-sphere. The functions have a classification according to the chain of groups O(6)⊃S O (2)×SU(3)⊃SO(3)⊃SO(2), introduced originally by Dragt. This scheme provides four quantum numbers plus a multiplicity label, thus giving rise to a non-orthogonal basis for which general analytic expressions are kno... Title of program: HHMTX Catalogue Id: ACHX_v1_0 Nature of problem Approximate eigenvalues and eigenfunctions for a Schrodinger equation H Psi = E Psi may be obtained by diagonalization of a truncated matrix of the intrinsic Hamiltonian H with respect to a complete set of functions depending on the relative vectors. In a system of three interacting bodies the matrix elements involve integrals of a product of two and three Dragt harmonics when the relative vectors are transformed to a set of 6-dimensional spherical coordinates and the harmonics are used as basis ... Versions of this program held in the CPC repository in Mendeley Data ACHX_v1_0; HHMTX; 10.1016/0010-4655(92)90081-9 This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2019)

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