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Perturbations into high-order WKB schemes for solving one-dimensional quantum-mechanical models

Authors
Journal
Journal of Molecular Structure THEOCHEM
0166-1280
Publisher
Elsevier
Publication Date
Volume
330
Identifiers
DOI: 10.1016/0166-1280(94)03817-5

Abstract

Abstract The WKB approximation in its standard form or in its supersymmetric form (SWKB) has been modified in such a way that effects of an external perturbation v can be taken into account. Perturbation corrections are explicitly written down up to the second order in h and the third order in v, high-order terms can be determined by the same procedure. This method is particularly attractive in the case of a shape-invariant unperturbed potential, where all the unperturbed terms of order n > 0 are vanishing. The potentials V = x 47 + x 2 and V = x 6 + 3 x 2 are given as examples.

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