Rayleigh–Schrödinger perturbation expansions for a hydrogen atom in a polynomial perturbation
✍ Scribed by Edward R. Vrscay
- Publisher
- John Wiley and Sons
- Year
- 1987
- Tongue
- English
- Weight
- 362 KB
- Volume
- 32
- Category
- Article
- ISSN
- 0020-7608
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📜 SIMILAR VOLUMES
## Rayleigh-Schr6dinger variational pertxhation theory is applied to the hydrogen-like atom with a perturbation proportional to l/r. It is r&orousIy shown &t the e.xact eigenfunction is obtained by direct summation of the perturbation ezqansion through infinite order.
A diagammatic,interprct~tion of the formal (i.e.; without second quantization ~ormalismj quasi-degenerate Rayleigh-Sciuiidinger perturbation theory with non-hem+ian model hamiltonian is suggested. fn this appro&. : the diagrammatic expressions for the Bloch wave operator U as well as for the model
## Abstract Several useful “redefined zero‐order Hamiltonian” variants of the Rayleigh–Schrödinger perturbation theory are derived by exploiting the freedom of choice for the orthogonality integral between zero‐ and first‐order wavefunctions. It is found that the more common Hamiltonian repartition