The use of quantum damping self-frictional theory in a study of hydrogen-like atomic energies and forces

By the use of complete orthogonal sets of psi((delta*))-damping self-frictional (DSF) exponential type orbitals (psi((delta*))-DSFETO) introduced by one of the authors, the quantum DSF study of hydrogen-like atomic energies and forces are suggested. Here, (delta*) = (alpha*) or (delta*) = (p(l)*), P-l* = 2l +2-alpha* and alpha* = alpha(-)(nl)*(Z)* are the integer and noninteger DSF quantum numbers which depend on quantities n, l and z, where z=H, He+, Li++, Be+++, B++++, C+++++, N++++++, O+++++++, F++++++++, Ne+++++++++. The average values of potentials, kinetic and total energies and forces of the hydrogen-like atomic systems are calculated. The given values are compared with the results obtained in the non-DSF (NDSF) theory.