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-l((p)*())-generalized Laguerre polynomials (L-l((p)*())-GLPs) and psi((p)(l)*())-generalized exponential type orbitals (psi((p)(l)*())-GETOs) in standard convention, the self-frictional atomic potentials and nuclear attraction forces are investigated, where p(l)* = 2l + 2 - alpha* and alpha* is the integer (alpha* = alpha, -infinity < alpha <= 2) or noninteger (alpha* not equal alpha, -infinity < alpha* < 3) self-frictional quantum number. We notice that the L-l((p)*())-GLPs, the origin of which is the quantum self-frictional fields, are the radial parts of the psi((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. (C) 2014 Elsevier B.V. All rights reserved.