par Hesse, Michel
Référence Physical review. E, Statistical, nonlinear, and soft matter physics, 65, 4, page (046703/1-046703/12), 046703
Publication Publié, 2002-04
Article révisé par les pairs
Résumé : Four coordinate systems adapted to three-body problems, the relative, Jacobi, perimetric, and renormalized Hylleraas coordinates, are compared in bound-state Lagrange-mesh calculations. The convergence of the energy with respect to the Lagrange basis size and the filling rate of the Hamiltonian matrix are analyzed. Three kinds of potentials are considered: harmonic, Gaussian, and Coulomb-like potentials. When at most one interaction potential presents a singularity at the origin, Jacobi coordinates represent the best choice for three-body Lagrange-mesh calculations. When all three potentials contain 1/r singularities, Jacobi coordinates provide only a limited accuracy, and perimetric coordinates take over. In all cases, with a good choice of coordinates, the Lagrange-mesh method provides very good accuracies on the three-body ground-state energy with small numbers of mesh points. © 2002 The American Physical Society.