Configuration-space Faddeev calculations: Supercomputer accuracy on a personal computer

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Abstract
The bound-state three-body problem is solved using the Faddeev-Noyes equations. The infinite domain of these equations is dealt with using a transformation of the hyperradius instead of the usual cutoff. The Faddeev-Noyes equations are reduced to a matrix equation by spline approximation and orthogonal collocation. This matrix equation is solved using a method that is based on the tensor structure of the matrices and reduces storage requirements by at least two orders of magnitude, thus allowing personal computers to produce results that previously could only be obtained with very large computers. Some of the results obtained with these methods are presented.