Variational solutions of a first-order perturbation equation

✍ Scribed by Hidekazu Hamano

• Book ID: 104580600
• Publisher: John Wiley and Sons
• Year: 1982
• Tongue: English
• Weight: 211 KB
• Volume: 21
• Category: Article
• ISSN: 0020-7608
• DOI: 10.1002/qua.560210308

✦ Synopsis

Abstract

The variation‐perturbation method for solving a first‐order equation of Rayleigh‐Schrödinger perturbation theory is presented. The method consists of the combination of variational procedures and successive approximations. The recurrence formulas generate successively the higher‐order approximations of the variational solutions. It is possible to obtain the almost exact solution within a few steps. The method is applied to the calculations of the polarizabilities of a one‐dimensional harmonic oscillator and of the hydrogen atom, and the dipole‐dipole interaction energy of two hydrogen atoms.