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By Ronald C. Davidson

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Environment, E − E n In order to properly preserve the scattering properties of the pseudised core states, a different pseudopotential must be computed for valence states of different angular momentum l, although independently of the azimuthal quantum number m for spherically-symmetric atomic potentials. Supposing that the potential due to core electrons vanishes beyond a cutoff radius rc , the valence wave-functions are expressible as the separable product of a radial function Rl and spherical harmonic Ylm , ψlm (r; E) = Rl (r; E) Ylm (θ, φ) .

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