English

A Generalized Parameter Imbedding Method

Functional Analysis 2007-05-23 v1

Abstract

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

Keywords

Cite

@article{arxiv.math/0106145,
  title  = {A Generalized Parameter Imbedding Method},
  author = {Cheng Geng and T. K. Kuo},
  journal= {arXiv preprint arXiv:math/0106145},
  year   = {2007}
}

Comments

14pages, no figure, Latex