Generalized Darboux--Crum--Krein transformations
Teoretičeskaâ i matematičeskaâ fizika, Tome 69 (1986) no. 3, pp. 475-479
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Expressions are obtained by means of which it is possible to transform a known solution $\varphi_1$ of the Schrödinger equation with potential $V_1$ into a solution $\varphi_2$ with corresponding potential $V_2$ when the Schrödinger equation contains not only a nuclear potential $V$ but also a centrifugal and a Coulomb potential. In special cases, these transformations yield the formulas of a Darboux–Crum–Krein transformation, and also formulas obtained by other authors.
@article{TMF_1986_69_3_a12,
author = {I. V. Poplavskii},
title = {Generalized {Darboux--Crum--Krein} transformations},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {475--479},
publisher = {mathdoc},
volume = {69},
number = {3},
year = {1986},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1986_69_3_a12/}
}
I. V. Poplavskii. Generalized Darboux--Crum--Krein transformations. Teoretičeskaâ i matematičeskaâ fizika, Tome 69 (1986) no. 3, pp. 475-479. http://geodesic.mathdoc.fr/item/TMF_1986_69_3_a12/