NUMERICAL SOLUTION OF THE SPINLESS SALPETER EQUATION BY A SEMIANALYTICAL MATRIX METHOD (A MATHEMATICA 4.0 ROUTINE)

In quantum theory, the "spinless Salpeter equation", the relativistic generalization of the nonrelativistic Schrödinger equation, is used to describe both the bound states of scalar particles and the spin-averaged spectra of bound states of fermions. A numerical procedure solves the spinless Salpeter equation by approximating this eigenvalue equation by a matrix eigenvalue problem with explicitly known matrices.