Solution of the mean field equations for spontaneous fission

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Abstract
A new iterative method is used to solve the self-consistent periodic mean field equations governing nuclear fission. A general filter method is introduced to interactively refine an initial approximation, and its stability and convergence are analyzed. The basic ideas are illustrated for the familiar static Hartree equations and generalized to address the unique aspects of the mean field tunneling problem. The method is applied to an illustrative self-consistent fission problem.