Applicability of the schrödinger perturbation theory to bound states
✍ Scribed by K. Hausmann; W. Macke; P. Ziesche
- Publisher
- Elsevier Science
- Year
- 1964
- Weight
- 80 KB
- Volume
- 10
- Category
- Article
- ISSN
- 0031-9163
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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.
By using the methods of perturbation theory it is possible to construct simple formulae for the numerical integration of the Schrodinger equation, and also to calculate expectation values solely by means of simple eigenvalue calculations. 1. The basic theory may be a multiplicative operator instead
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