Studies of quantum self-frictional atomic potentials and nuclear attraction forces in standard convention

This paper is devoted to examine a physical nature of quantum self-frictional atomic potentials and nuclear attraction forces. Using analytical formulas for the L ( p l ∗ ) -generalized Laguerre polynomials ( L ( p l ∗ ) -GLPs) and ψ ( p l ∗ ) -generalized exponential type orbitals ( ψ ( p l ∗ ) -GETOs) in standard convention, the self-frictional atomic potentials and nuclear attraction forces are investigated, where p l ∗ = 2 l + 2 - α ∗ and α∗ is the integer (α∗ = α, - ∞ < α ⩽ 2 ) or noninteger (α∗ ≠ α, −∞ < α∗ < 3) self-frictional quantum number. We notice that the L ( p l ∗ ) -GLPs, the origin of which is the quantum self-frictional fields, are the radial parts of the ψ ( p l ∗ ) -GETOs. The dependence of the quantum self-frictional potentials and nuclear attraction forces as a function of the distance from nucleus is analyzed. The relationships presented are valid for the arbitrary values of quantum numbers and scaling parameters.