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Lagrange mesh, relativistic flux tube, and rotating string
Fabien Buisseret1, Claude Semay
1Groupe de Physique Nucléaire Théorique, Université de Mons-Hainaut, Académie Universitaire Wallonie-Bruxelles, Place du Parc 20, B-7000 Mons, Belgium. fabien.buisseret@umh.ac.be
Abstract:
The Lagrange mesh method is a very accurate and simple procedure to compute eigenvalues and eigenfunctions of nonrelativistic and semirelativistic Hamiltonians. We show here that it can be used successfully to solve the equations of both the relativistic flux tube model and the rotating string model, in the symmetric case. Verifications of the convergence of the method are given.