Exactness of supersymmetric WKB spectra for shape-invariant potentials

Dutt, Ranabir ; Khare, A. ; Sukhatme, Uday P. (1986) Exactness of supersymmetric WKB spectra for shape-invariant potentials Physics Letters B, 181 (3-4). pp. 295-298. ISSN 0370-2693

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Official URL: http://linkinghub.elsevier.com/retrieve/pii/037026...

Related URL: http://dx.doi.org/10.1016/0370-2693(86)90049-3

Abstract

Potentials which have the property of "shape-invariance" are known to be exactly solvable. For all these potentials, it is proved that the supersymmetric WKB (SWKB) quantization condition (to leading order in h) also has the nice property of reproducing the exact bound-state spectra. These results are not modified even if the next higher-order correction in h is taken into account.

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