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
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.
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