Application of Hellman-Feynman and Hypervirial theorems to the eigenvalue problem: Coulomb plus linear term and quartic anharmonic oscillator potentials
Mathematical Physics
2007-06-13 v1 math.MP
Abstract
We use the Hellman-Feynman (HF) and Hypervirial (HV) theorems, to calculate the perturbative coefficients of the eigenenergies formal series, in the case of the Coulomb potential with a radial linear term and the radial quartic anharmonic oscillator potential. This calculation method, contrary to the usual Rayleigh-Schrodinger Perturbation Theory (RSPT), does not require the calculation of eigenfunctions coefficients. This method is a fast and efficient tool for the calculation of large order eigenenergies coefficients.
Cite
@article{arxiv.math-ph/0602029,
title = {Application of Hellman-Feynman and Hypervirial theorems to the eigenvalue problem: Coulomb plus linear term and quartic anharmonic oscillator potentials},
author = {S. Rekab and N. Zenine},
journal= {arXiv preprint arXiv:math-ph/0602029},
year = {2007}
}
Comments
12 pages, no figures, to be published in Algerian Review of Nuclear Sciences