Relativistic recursion relations for transition matrix elements

R. P. Martínez-y-Romero, H. N. Núñez-Yépez, A. L. Salas-Brito

We review some recent results on recursion relations which help evaluating arbitrary non-diagonal, radial hydrogenic matrix elements of $r^{\lambda }$ and of $\beta r^{\lambda }$ ($\beta$ a Dirac matrix) der…