Algebraic and numerical manipulation of the even-power-seriescentral potentials by means of the hypervirial theorems technique
Description
Abstract A combination of two programs is described for the study of the class of central potentials V(r) = - D + Σ^∞ _(k=0)V_k b^k r^(2k+2), V_0= w^2> 0, which is of special interest in theoretical physics. The first program uses the Hypervirial Theorems (HVT) and the Hellmann-Feynman Theorem (HFT) to calculate approximate analytic expressions for the non-relativistic energy eigenvalues, the expectation values of the potential and the kinetic energy operator, and the expectation values of th... Title of program: HVTDER-HVTPAS Catalogue Id: ADGB_v1_0 Nature of problem Algebraic and numerical calculation of the energy eigenvalues E_nl of the 3D Schroedinger equation as well as of the expectation values <V>_nl, <T>_nl, <r^N>_nl for the class of central potentials V(r) = -D + Sigma (Vk b^k r^(2k+2)) k=0 to infinity Versions of this program held in the CPC repository in Mendeley Data ADGB_v1_0; HVTDER-HVTPAS; 10.1016/S0010-4655(97)00053-2 This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2019)