| Summary: | By the use of complete orthogonal sets of ψ(δ∗)-damping self-frictional (DSF) exponential type orbitals (ψ(δ∗)-DSFETO) introduced by one of the authors, the quantum DSF study of hydrogen-like atomic energies and forces are suggested. Here, δ∗=α∗ or δ∗=pl∗, pl∗=2l+2-α∗ and α∗=α-nl∗(z) are the integer and non-integer 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. Keywords: Exponential type orbitals, Damping self-frictional quantum numbers, Damping self-frictional screening parameters, Virial theorem
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