Solving the Faddeev-Merkuriev Equations in Total Orbital Momentum Representation via Spline Collocation and Tensor Product Preconditioning

The computational approach for solving the Faddeev-Merkuriev equations in total orbitalmomentum representation is presented.These equations describe a systemof three quantumcharged particles and arewidely used in bound state and scattering calculations.The approach is based on the spline collocation method and exploits intensively the tensor product formof discretized operators and preconditioner,which leads to a drastic economy in both computer resources and time.