Numerical Solution of the Spinless Salpeter Equation by a Semianalytical Matrix Method (a Mathematica 4.0 routine)

摘要

In quantum theory, the so-called "spinless Salpeter equation," therelativistic generalization of the nonrelativistic Schroedinger equation, isused to describe both bound states of scalar particles and the spin-averagedspectra of bound states of fermions. A numerical procedure solves the spinlessSalpeter equation by approximating this eigenvalue equation by a matrixeigenvalue problem with explicitly known matrices.