Appraisal of the FOPIM Fast-Converging Perturbation Method
- 15 March 1965
- journal article
- research article
- Published by AIP Publishing in The Journal of Chemical Physics
- Vol. 42 (6) , 1879-1883
- https://doi.org/10.1063/1.1696218
Abstract
The practicality of the first‐order perturbation‐iteration method (FOPIM) is appraised. After the first iteration, the expectation value of the energy is given by a nonanalytic function of the perturbation parameter λ. The asymptotic expansion of this function gives the energy accurately up to O(λ8). The convergence of the asymptotic expansions is discussed. Two examples are considered: a perturbed ground‐state hydrogen atom, and a perturbed ground‐state linear harmonic oscillator.Keywords
This publication has 5 references indexed in Scilit:
- UPPER AND LOWER BOUNDS FOR RAYLEIGH-SCHRÖDINGER PERTURBATION ENERGIESProceedings of the National Academy of Sciences, 1964
- Iteration-Variation Procedures for Quantum-Mechanical PerturbationsThe Journal of Chemical Physics, 1963
- Application of the Rayleigh-Schr dinger Perturbation Theory to the Hydrogen AtomProceedings of the Physical Society. Section A, 1956
- Application of the Rayleigh-Schrödinger Perturbation Theory to the Hydrogen AtomPhysical Review B, 1956
- Application of the Rayleigh-Schrödinger Perturbation Theory to the Hydrogen AtomPhysical Review B, 1954