Thomas-Fermi Theory of Excited Atomic States

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Abstract
The usual Thomas-Fermi theory of the atom applies only to ground states. The present paper outlines the general method of extending the theory to excited states and carries out this program in the case of a one-dimensional atom. The treatment is completely self-consistent and yields a nonlinear differential equation which must be solved simultaneously with other equations expressing Bohr-Sommerfeld quantization conditions. Numerical computations show the magnitude of core polarization effects arising from the self-consistent field.

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