EVALUATION OF THE DIAGONAL MATRIX-ELEMENTS (NL-VERTICAL-BAR-R(BETA)-VERTICAL-BAR-NL) FOR ARBITRARY-BETA AND FIXED-L WITH RELATIVISTIC HYDROGENIC FUNCTIONS

We present a simple analytic expression for the generalized diagonal m atrix element [nl\r(beta)\nl] for arbitrary beta and fixed l, using th e fully relativistic hydrogen wavefunctions. On the basis of this expr ession, exact matrix elements corresponding to the value of l in the r ange n - 5 less than or equal to l less than or equal to n - 1 are obt ained and shown to reduce to their nonrelativistic counterparts when t he appropriate limit is taken.