Geodesic
Asymptotic behaviour of eigenfunctions of the Schr\"odinger operator with a non-local potential
Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 1 (2007), pp. 109-120

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The asymtotic formulas for the (generalized) eigenfunctions of the Schrödinger operator with a non-local steplike potential for $x\to\pm\infty$ is found. The connection between the transmission and the reflection coefficients is established. 
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     author = {N. I. Pletnikova},
     title = {Asymptotic behaviour of eigenfunctions of the {Schr\"odinger} operator with a non-local potential},
     journal = {Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹ\^uternye nauki},
     pages = {109--120},
     publisher = {mathdoc},
     number = {1},
     year = {2007},
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     url = {http://geodesic.mathdoc.fr/item/VUU_2007_1_a10/}
}
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N. I. Pletnikova. Asymptotic behaviour of eigenfunctions of the Schr\"odinger operator with a non-local potential. Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 1 (2007), pp. 109-120. http://geodesic.mathdoc.fr/item/VUU_2007_1_a10/