Screened hydrogenic radial integrals

Evaluation of matrix elements ofrkand recurrence relations for the Klein–Gordon equation with a Coulomb field

“…The exact solution of the Schrödinger equation for a hydrogen atom in three dimensions is important in the early stage of quantum mechanics, from which many authors have used different methods to calculate diagonal and off-diagonal matrix elements of r k and to derive the recurrence relations between them [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20]. Recently, the recurrence relations of the radial wavefunctions for the Schrödinger equation with a Coulomb potential in two dimensions were studied [21].…”