Semirelativistic Lagrange mesh calculations - art. no. 016703

The Lagrange mesh method is a very powerful procedure to compute eigenvalue s and eigenfunctions of nonrelativistic Hamiltonians. The trial eigenstates are developed in a basis of well-chosen functions and the computation of H amiltonian matrix elements requires only the evaluation of the potential at grid points. It is shown that this method can be used to solve semirelativ istic two-body eigenvalue equations. As in the nonrelativistic case, it is very accurate, fast, and very simple to implement.