Abstract
Two formulas derived in previous articles are used to evaluate the matrix elements of a general many-particle Hamiltonian. The first formula is an expansion of the Coulomb potential of the system in terms of hyperspherical harmonics, while the second is a general formula for the evaluation of angular integrals in many-dimensional spaces. These two formulas lead to explicit expressions for the Hamiltonian matrix elements when the basis functions are mononomials in the 3N coordinates multiplied by functions of the hyperradius.
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