Relativistic J-matrix method - art. no. 052716

The relativistic version of the J-matrix method for a scattering problem on the potential vanishing faster than the Coulomb one is formulated. As in t he nonrelativistic case it leads to a finite algebraic eigenvalue problem. The derived expression for the tangent of phase shift is simply related to the nonrelativistic case formula and gives the latter as a limit case. It i s due to the fact that the used basis set satisfies the "kinetic balance co ndition."