We apply renormalized perturbation theory by the moment method to an anharmonic oscillator in two dimensions with a perturbation that couples unperturbed degenerate states. The method leads to simple recurrence relations for the perturbation corrections to the energy and moments of the eigenfunction
Perturbation theory by the moment method applied to coupled anharmonic oscillators
✍ Scribed by F.M Fernández; J.F Ogilvie
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 431 KB
- Volume
- 178
- Category
- Article
- ISSN
- 0375-9601
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
Uy treatingthe Hamiltonian for coupled oscillators with poiynornial anharmonicity by tbc Gibbs-Uogoliubov incqunlity, the effective harmonic oscillator (EHO) method is developed rend applied to computing the thermrtl averages for polyatomic molecules. Practical utility is demonstrated with calculati
## Abstract The three‐body energy expansion in the fragment molecular orbital method (FMO) was applied to the 2nd order Møller–Plesset theory (MP2). The accuracy of both the two and three‐body expansions was determined for water clusters, alanine __n__‐mers (α‐helices and β‐strands) and one synthet
The relativistic effects on the quantization of the harmonic oscillator are determined from a perturbation calculation using matrices obtained in the nonrelativistic case. One finds that the energy levels are no longer evenly spaced although the usual transition rules still hold. When a system of