Numerical methods for solving some singular boundary value problems of quantum mechanics and quantum field theory. I

Abstract

This is the first of a series of papers dealing with numerical solving of certain singular boundary value problems of quantum mechanics and quantum field theory by using a common computational approach, which is briefly exposed in the Introduction. In the main body of the paper one simple problem, which arose in the theory of composite hadrons, is investigated in detail. Using this problem as a typical example we formulate a method of analytic continuation of the numerical solution defined on the real axis into the whole complex plane.