Solution of a Bethe-Salpeter Equation

The Bethe-Salpeter equation arising from a ${\phi }^3$ theory is solved numerically for several energies (bound states only) and symmetry states. The method used is a variational calculation in the four-dimensional Euclidean space arrived at by the transformation due to Wick. A high degree of accuracy is achieved by using only a very small amount of common computing machine capabilities.