Geodesic
Characterization of the scattering data of the Schr\"odinger and Dirac operators
Teoretičeskaâ i matematičeskaâ fizika, Tome 88 (1991) no. 1, pp. 72-84

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Necessary and sufficient conditions characterizing the scattering data of Schrödinger and Dirac operators whose coefficients tend to different constant limits as $x\to\pm\infty$ are given. 
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     author = {I. A. Anders and V. P. Kotlyarov},
     title = {Characterization of the scattering data of the {Schr\"odinger} and {Dirac} operators},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     publisher = {mathdoc},
     volume = {88},
     number = {1},
     year = {1991},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1991_88_1_a10/}
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I. A. Anders; V. P. Kotlyarov. Characterization of the scattering data of the Schr\"odinger and Dirac operators. Teoretičeskaâ i matematičeskaâ fizika, Tome 88 (1991) no. 1, pp. 72-84. http://geodesic.mathdoc.fr/item/TMF_1991_88_1_a10/