A set of non-lmear cqustlons LS given winch solves the stationary Schrodmgcr equalion III terms of a known subproblem. An ItemlIve solution of the equations ylclds the degenerate version of Raylegh-SchrBdmgcr perturbation theory, but olhcr approxunatlon schemes, as well as a purely numerIca solullon
The relationship between the Rayleigh-Schrödinger and asymptotic perturbation theories of intermolecular forces
✍ Scribed by W. N. Whitton; W. Byers Brown
- Publisher
- John Wiley and Sons
- Year
- 1976
- Tongue
- English
- Weight
- 694 KB
- Volume
- 10
- Category
- Article
- ISSN
- 0020-7608
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✦ Synopsis
Abstract
The relation of the straightforward Rayleigh‐Schrödinger perturbation theory for the interaction of two atoms to the asymptotic exchange theory is described. The one‐electron case of a hydrogen atom perturbed by a nucleus is examined in detail. It is shown that the asymptotic theory contains an infinite summation of terms in the Rayleigh‐Schrödinger series. The nature of the branching between states and its implications for convergence is elucidated.
📜 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 Rayleigh-Schrödinger perturbation theory approach based on the adiabatic (Born-Oppenheimer) separation of vibrational motions was previously developed and used to evaluate for a system of coupled oscillators the adiabatic energy levels and their nonadiabatic corrections. This method is applied her