International Journal of Mathematics and Mathematical Sciences

International Journal of Mathematics and Mathematical Sciences / 1980 / Article

Open Access

Volume 3 |Article ID 483936 | https://doi.org/10.1155/S0161171280000245

Ollie J. Rose, Carl G. Adler, "Closed form bound-state perturbation theory", International Journal of Mathematics and Mathematical Sciences, vol. 3, Article ID 483936, 18 pages, 1980. https://doi.org/10.1155/S0161171280000245

Closed form bound-state perturbation theory

Received23 Jan 1979
Revised18 Dec 1979

Abstract

The perturbed Schrödinger eigenvalue problem for bound states is cast into integral form using Green's Functions. A systematic algorithm is developed and applied to the resulting equation giving rise to approximate solutions expressed as functions of the given perturbation parameter. As a by-product, convergence radii for the traditional Rayleigh-Schrödinger and Brillouin-Wigner perturbation theories emerge in a natural way.

Copyright © 1980 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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