Techniques for solving bound state problems

+V(r) (1)We are interested in solving the Schr¨odinger equation for binding and confining potentials,that are associated with particle exchange.There are several methods for obtaining bound states. Probably the simplest way is todirectly solve the differential equation in configuration space. Unfortunately we cannot usethis method in the relativistic case, since we have to deal with a term that contains a squareroot of the differential operator.Another possible method is to directly discretize the integral equation in momentumspace. This comes down to solving an equation of the formEψ