Integral coalescence conditions

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Abstract
The general coalescence conditions of Pack and Byers Brown for spatial eigenfunctions are used to derive integral coalescence conditions for exact wavefunctions Ψ for atoms and molecules with definite spin quantum numbers. These conditions for the special case of nodeless Ψ are equivalent to the cusp conditions for the electron and spin densities of Steiner and Bingel. Finally, the integral coalescence conditions are applied to approximate wavefunctions.