An approximation formula for the kappa -matrix elements of the symplectic algebra Sp(6, R)

Abstract

A simple approximation formula, valid to the high degree of accuracy of the Toronto approximation, is given for both the off-diagonal and diagonal matrix elements of the kappa matrices which transform the bosonic realisations of the symplectic algebra into an orthonormal basis for a unitary irreducible representation of Sp(6, R).