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A Generalized Parameter Imbedding Method

Cheng Geng, T. K. Kuo

math.FAarXiv:math/0106145

Abstract

The parameter imbedding method for the Fredholm equation converts it into an initial value problem in its parameter λ. We establish the method for general operator equations of the form [I + f(λ)]ψ= ϕ. It is particularly useful for studying spontaneous symmetry breaking problems, such as contained in the nonlinear Schwinger-Dyson equation.

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