Closed form bound-state perturbation theory

Ollie J. Rose and Carl G. Adler

International Journal of Mathematics and Mathematical Sciences, 1980, vol. 3, 1-18

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.

Date: 1980
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:483936

DOI: 10.1155/S0161171280000245

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